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Finite Element Method (FEM) The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. The solution approach is based either on eliminating the differential equation completely (steady state problems), or rendering the PDE into an approximating system of ordinary differential equations, which are then numerically integrated using standard techniques such as Euler's method, Runge-Kutta, etc.

List of finite element software packages From Wikipedia, the free encyclopedia This is a list of software packages that implement the finite element method for solving partial differential equations.

Wolfram Mathematica For three decades, Mathematica has defined the state of the art in technical computingâ€”and provided the principal computation environment for millions of innovators, educators, students, and others around the world. Widely admired for both its technical prowess and elegant ease of use, Mathematica provides a single integrated, continually expanding system that covers the breadth and depth of technical computingâ€”and with Mathematica Online, it is now seamlessly available in the cloud through any web browser, as well as natively on all modern desktop systems.

Macsyma Macsyma is a general purpose symbolic-numerical-graphical mathematics software product. You can use it to solve simple problems specified by one-line commands (such as finding the indefinite integral of a function), or to perform very complicated computations by means of a large Macsyma program. Macsyma offers: symbolic and numeric manipulation and solution capabilities in algebra, calculus and numerical analysis 2D and 3D report-quality graphics interactive scientific notebooks a user programming environment.

PTC Mathcad Show. Solve. Secure. PTC Mathcad Prime 4.0. The Industry Standard for Engineering Calculations

MathWorks Product Overview Explore nearly 100 products in the MATLAB and Simulink product families for technical computing and Model-Based Design. Click a category to learn more.

NAFEMS NAFEMS is the International Association for the Engineering Modelling, Analysis and Simulation Community. We focus on the practical application of numerical engineering simulation techniques such as the Finite Element Method for Structural Analysis, Computational Fluid Dynamics, and Multibody Simulation

MSC Software - Simulating Reality, Delivering Certainty MSC Software develops simulation software technology that enables engineers to validate and optimize their designs using virtual prototypes. Customers in almost every part of manufacturing use our software to complement, and in some cases even replace the physical prototype “build and test” process that has traditionally been used in product design. MSC Software develops simulation software technology that enables engineers to validate and optimize their designs using virtual prototypes. Customers in almost every part of manufacturing use our software to complement, and in some cases even replace the physical prototype “build and test” process that has traditionally been used in product design.

NEI SOFTWARE, INC. NEi Software (formerly Noran Engineering, Inc.) is a leader in CAE innovation. Our main product, NEi Nastran, is a powerful, general purpose Finite Element Analysis (FEA) tool with an integrated graphical user interface and model Editor. Thousands of companies routinely use NEi Nastran to perform linear and nonlinear stress, dynamic, and thermal FEA heat transfer analysis. Support is also provided for specialized analyses such as DDAM, optimization, fatigue, CFD, event simulation and composites. NEi Nastran has played a key role in the design of space vehicles, aircraft, naval vessels, automobiles, medical products,

ADINA - Automatic Dynamic Incremental Nonlinear Analysis ADINA offers a wide range of capabilities based on reliable and efficient finite element procedures. For this reason, ADINA is often selected for applications where reliability is of critical importance, e.g., dynamic analysis of bridges for earthquake, biomedical applications, design of nuclear reactors, studies for safety and

SIMULIA - SIMULATION FOR PRODUCT, NATURE & LIFE Powered by the 3DEXPERIENCEÂ® Platform, SIMULIA delivers realistic simulation applications that enable users to explore real-world behavior of product, nature and life. Powered by the 3DEXPERIENCEÂ® Platform, SIMULIA delivers realistic simulation applications that enable users to explore real-world behavior of product, nature and life.

LS-DYNA LS-DYNA offers cutting-edge technologies, both Implicit and Explicit, for the accurate solution of complex processes. LS-DYNA's MPP capabilities provide scalability on clusters for fast turnaround.

LUSAS - Engineering analysis and design software LUSAS develops, markets and supports a range of engineering analysis software products all based upon the LUSAS finite element analysis system.

LISA 8.0.0 LISA is a user-friendly finite element analysis package for Windows with an integrated modeler, multi-threaded solver and graphical post-processor.

AxisVM - STRUCTURAL ANALYSIS & DESIGN SOFTWARE Civil engineers on 5 continents use AxisVM for the analysis of structures with confidence that their final engineering product will meet the most up-to-date engineering analysis and design requirements. Structural analysis software that is intuitive and graphically driven so it is exceptionally easy to use and truly easy to start. Linear, nonlinear, buckling, vibration, seismic and dynamic analysis for truss, beam, rib, membrane, plate and shell two dimension and three dimension structures. Response-spectrum, pushover and time history analysis. Code checking and design modules for steel, concrete and timber materials. Along with Eurocode some national standards can be used: SIA, NEN, DIN, NTC, STAS, MSZ. Available Languages: English, French, German, Dutch, Czech, Romanian, Slovak, Hungarian, Spanish, Italian, Serbian, Polish, Bulgarian, Portuguese

INTERNET FINITE ELEMENT RESOURCES This document describes and provides access to finite element analysis software via the Internet. The main index follows this introduction. We list all public domain and shareware programs which have come to our notice, and a selection of pointers to commercial packages.

Extended Finite Element Method The extended finite element method (XFEM), is a numerical technique based on the generalized finite element method (GFEM) and the partition of unity method (PUM). It extends the classical finite element method (FEM) approach by enriching the solution space for solutions to differential equations with discontinuous functions.

Explore Pervasive Engineering Simulation Discover how engineering simulation is expanding across the entire product lifecycle, from digital exploration to digital prototyping to operations and maintenance using digital twins. Select a physics area to learn more about what sets ANSYS software apart from other engineering simulation tools. Structures Fluids Electromagnetics Semiconductors Embedded Software

ANSYS Free Student Software Downloads ANSYS provides free student software products perfect for work done outside the classroom, such as homework, capstone projects, student competitions and more. Our renewable products can be downloaded by students across the globe. ANSYS Student products can be installed on any supported MS Windows 64-bit machine. Learn more about Discovery Live Student, ANSYS AIM Student and ANSYS Student so you can download them today.

Eigenvalue, eigenvector and eigenspace From Wikipedia, the free encyclopedia In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector whose direction does not change when that linear transformation is applied to it.

Finite Element Method (FEM) vs. Finite Volume Method (FVM) in Field Solvers for Electronics The finite element method (FEM) is a systematic numerical method for solving problems of engineering and mathematical physics, more specifically PDEs. The FEM generally addresses issues in heat transfer, structural analysis, fluid flow, electromagnetic potential, and mass transport. Also, the analytical nature of the solutions of these issues typically requires the solution to boundary value problems for PDEs. January 03, 2020

Extended Finite Element and Meshfree Methods 1st Edition Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. February 01, 2019

Finite Element Analysis Applications: A Systematic and Practical Approach Finite Element Analysis Applications: A Systematic and Practical Approach strikes a solid balance between more traditional FEA textbooks that focus primarily on theory, and the software specific guidebooks that help teach students and professionals how to use particular FEA software packages without providing the theoretical foundation. In this new textbook, Professor Bi condenses the introduction of theories and focuses mainly on essentials that students need to understand FEA models. The book is organized to be application-oriented, covering FEA modeling theory and skills directly associated with activities involved in design processes. January 01, 2019

Finite Element Analysis Applications - A Systematic and Practical Approach Finite Element Analysis Applications: A Systematic and Practical Approach strikes a solid balance between more traditional FEA textbooks that focus primarily on theory, and the software specific guidebooks that help teach students and professionals how to use particular FEA software packages without providing the theoretical foundation. In this new textbook, Professor Bi condenses the introduction of theories and focuses mainly on essentials that students need to understand FEA models. The book is organized to be application-oriented, covering FEA modeling theory and skills directly associated with activities involved in design processes January 01, 2019

Finite Element Modelling of Elastohydrodynamic Lubrication Problems Finite Element Modelling of Elastohydrodynamic Lubrication Problems comprehensively covers the state-of-the-art technology in modelling of elastohydrodynamic lubrication (EHL) problems. It provides a general finite element method framework for dealing with multi-physical problems of complex nature and is accompanied by a website hosting source codes. This book begins with an introduction to EHL, before describing the physics involved and the corresponding equations. The main focus of the book is the finite element method (FEM) modellingof EHL problems. Standard FEM modelling is described before more advanced techniques are covered which allow significant reduction in computational times. Finally the book covers applications which show how the developed methodology could be used to accurately predict the July 06, 2018

Interval Finite Element Method with MATLAB nterval Finite Element Method with MATLAB provides a thorough introduction to an effective way of investigating problems involving uncertainty using computational modeling. The well-known and versatile Finite Element Method (FEM) is combined with the concept of interval uncertainties to develop the Interval Finite Element Method (IFEM). An interval or stochastic environment in parameters and variables is used in place of crisp ones to make the governing equations interval, thereby allowing modeling of the problem. The concept of interval uncertainties is systematically explained. Several examples are explored with IFEM using MATLAB on topics like spring mass, bar, truss and frame. Provides a systematic approach to understanding the interval uncertainties caused by vague or impre January 01, 2018

Fundamentals of Finite Element Analysis: Linear Finite Element Analysis 1st Edition This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). The first volume focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the strong form of the problem (governing differential equations and boundary conditions) January 01, 2018

A Finite Element Primer for Beginners - The Basics Presents absolute essentials of the Finite Element Method Offers a basic introduction to some essential mathematical concepts and to the mechanics of a continuum Written by an author with long years of experience teaching finite element classes Illustrated through the classical model problem of linearized elasticity The second edition includes an extensive repository of Sample Tests and Sample Projects January 01, 2018

Finite Element Analysis FEA Terms and Definitions (A to Z) Part-1 ACCELERATION The second time derivative of the displacement (the first time derivative of the velocity). ADAPTIVE FINITE ELEMENT METHOD/ADAPTIVE MESHING An adaptive finite element solver iteratively performs finite element analysis, determines the areas of the mesh where the solution is not sufficiently accurate and refines the mesh in those areas until the solution obtains the prescribed degree of accuracy. Adaptive Meshing involves automatically improving the mesh where necessary to meet specified convergence criteria. August 28, 2017

Introduction to Finite Element Method/Finite Element Analysis (FEM/FEA) The description of the laws of physics for space- and time-dependent problems are usually expressed in terms of partial differential equations (PDEs). For the vast majority of geometries and problems, these PDEs cannot be solved with analytical methods. Instead, an approximation of the equations can be constructed, typically based upon different types of discretizations. These discretization methods approximate the PDEs with numerical model equations, which can be solved using numerical methods. The solution to the numerical model equations are, in turn, an approximation of the real solution to the PDEs. The finite element method (FEM) is used to compute such approximations. August 22, 2017

ANSYS Mechanical APDL for Finite Element Analysis ANSYS Mechanical APDL for Finite Element Analysis provides a hands-on introduction to engineering analysis using one of the most powerful commercial general purposes finite element programs on the market. Students will find a practical and integrated approach that combines finite element theory with best practices for developing, verifying, validating and interpreting the results of finite element models, while engineering professionals will appreciate the deep insight presented on the programâ€™s structure and behavior. Additional topics covered include an introduction to commands, input files, batch processing, and other advanced features in ANSYS. May 15, 2017

Practical Finite Element Modeling in Earth Science Using Matlab Mathematical models have become a crucial way for the Earth scientist to understand and predict how our planet functions and evolves through time and space. The finite element method (FEM) is a remarkably flexible and powerful tool with enormous potential in the Earth Sciences. This pragmatic guide explores how a variety of different Earth science problems can be translated and solved with FEM, assuming only basic programming experience. This book begins with a general introduction to numerical modeling and includes multiple sample Matlab codes to illustrate how FEM is implemented in practice. Textboxes have been included to provide additional detail, such as specialized Matlab usage or advanced topics. Covering all the key aspects, this is essential reading for those looking to master the technique, as well as those simply seeking to increase their basic level of understanding and appreciation of FEM. March 13, 2017

Finite Element Methods: A Practical Guide This book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the finite element method such as different classes of meshes and basic functions. Practical application of the theory is emphasised, with development of all concepts leading ultimately to a description of their computational implementation illustrated using Matlab functions. The target audience primarily comprises applied researchers and practitioners in engineering, but January 26, 2017

Finite Element Essentials in 3DEXPERIENCE 2017x Using SIMULIA/CATIA Applications Finite Element Essentials in 3DEXPERIENCE 2017x Using SIMULIA/CATIA Applications January 01, 2017

Finite Element Simulations with ANSYS Workbench 17 Finite Element Simulations with ANSYS Workbench 17 is a comprehensive and easy to understand workbook. Printed in full color, it utilizes rich graphics and step-by-step instructions to guide you through learning how to perform finite element simulations using ANSYS Workbench. Twenty seven real world case studies are used throughout the book. Many of these case studies are industrial or research projects that you build from scratch. Prebuilt project files are available for download should you run into any January 01, 2017

Engineering Analysis with SOLIDWORKS Simulation 2017 Engineering Analysis with SOLIDWORKS Simulation 2017 goes beyond the standard software manual. Its unique approach concurrently introduces you to the SOLIDWORKS Simulation 2017 software and the fundamentals of Finite Element Analysis (FEA) through hands-on exercises. A number of projects are presented using commonly used parts to illustrate the analysis features of SOLIDWORKS Simulation. Each chapter is designed to build on the skills, experiences and understanding gained from the previous chapters. January 01, 2017

A First Course in the Finite Element Method (Activate Learning with these NEW titles from Engineering!) 6th Edition Provide a simple, direct approach that highlights the basics with A FIRST COURSE IN THE FINITE ELEMENT METHOD, 6E. This unique book is written so both undergraduate and graduate students can easily comprehend the content without the usual prerequisites, such as structural analysis. The book is written primarily as a basic learning tool for the undergraduate students in civil and mechanical engineering who are primarily interested in stress analysis and heat transfer. The text offers ideal preparation for students who want to apply the finite element method as a tool to solve practical physical problems. January 01, 2017

Coursera: The finite Element Method for Problems in Physics This course is an introduction to the finite element method as applicable to a range of problems in physics and engineering sciences. The treatment is mathematical, but only for the purpose of clarifying the formulation. The emphasis is on coding up the formulations in a modern, open-source environment that can be expanded to other applications, subsequently. January 01, 2017

FEM History Finite Element Analysis in 2016 is the most powerful computational tool for structural verification and analysis of multi-physic problems. It is widely used in different industries and engineering disciplines. From aeronautical, automotive, civil engineering, to heat transfer, fluid dynamics. 75 years ago, it was not so clear, 1940s, it was a time when first engineers started developing mesh discretization method and dealing with numerical approximations of the stress analysis. But that was also a time when the method was limited by lack of computers. It was 1960, when for the first time the term â€œfinite elementâ€ was coined in the article. In the 1960s the first FEM open source software was developed. 1965 brought NASTRAN â€“ NASA structural analysis solver tool. In 1967 Mr Zienkiewicz with his co-workers published the first book about FEM, â€œThe Finite Element Method: Its basis and fundamentalsâ€. 1969 was the year, when the Norwegian classification society â€“ DNV (Det Norske Veritas, today DNV GL) developed the first tool used in ships analysis â€“ Sesam. In 1980s started age of developing commercial FEA softwareâ€™s, pre- and post- processors became available and automatic meshing became a standard feature. Since then the method has been widely used for numerical modelling. During the last ten years two trends can be noticed. First one is that organizations focused on September 21, 2016

What Do Engineers and Architects Need to Know about Finite Element Methods? PDHonline Course C101 Finite Element Method is a powerful engineering analysis tool, and has been widely used in engineering since it was introduced in the 1950s. This course presents the basic theory and simple application of Finite Element Method (FEM) along with common FEM terminology. The emphasis of this course is on the fundamental concepts of finite element analysis. A list of major commercial software using FEM is also presented in the course, along with their features and capabilities. This course includes a multiple-choice quiz at the end, which is designed to enhance the understanding of course materials. January 01, 2016