Eighty years of the finite element method: Birth, evolution, and future
This document presents comprehensive historical accounts on the developments of finite
element methods (FEM) since 1941, with a specific emphasis on developments related to …
element methods (FEM) since 1941, with a specific emphasis on developments related to …
A comprehensive review of educational articles on structural and multidisciplinary optimization
Ever since the publication of the 99-line topology optimization MATLAB code (top99) by
Sigmund in 2001, educational articles have emerged as a popular category of contributions …
Sigmund in 2001, educational articles have emerged as a popular category of contributions …
[LIVRE][B] An introduction to reservoir simulation using MATLAB/GNU Octave: User guide for the MATLAB Reservoir Simulation Toolbox (MRST)
KA Lie - 2019 - books.google.com
This book provides a self-contained introduction to the simulation of flow and transport in
porous media, written by a developer of numerical methods. The reader will learn how to …
porous media, written by a developer of numerical methods. The reader will learn how to …
Can physics-informed neural networks beat the finite element method?
Partial differential equations play a fundamental role in the mathematical modelling of many
processes and systems in physical, biological and other sciences. To simulate such …
processes and systems in physical, biological and other sciences. To simulate such …
Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes
We develop a method for generating degree-of-freedom maps for arbitrary order Ciarlet-type
finite element spaces for any cell shape. The approach is based on the composition of …
finite element spaces for any cell shape. The approach is based on the composition of …
[LIVRE][B] Finite elements II
A Ern, JL Guermond - 2021 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …
impact of computer technology, the growing importance of computer modelling and the …
[LIVRE][B] Mixed finite element methods and applications
D Boffi, F Brezzi, M Fortin - 2013 - Springer
About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …
went out of print and we were asked to allow a second printing. The world had evolved and …
The hitchhiker's guide to the virtual element method
The Hitchhiker's Guide to the Virtual Element Method | Mathematical Models and Methods in
Applied Sciences World Scientific Search This Journal Anywhere Quick Search in Journals …
Applied Sciences World Scientific Search This Journal Anywhere Quick Search in Journals …
The hybrid high-order method for polytopal meshes
Originally introduced in [146, 158], Hybrid High-Order (HHO) methods provide a framework
for the discretisation of models based on Partial Differential Equations (PDEs) with features …
for the discretisation of models based on Partial Differential Equations (PDEs) with features …
[HTML][HTML] Equivalent projectors for virtual element methods
In the original virtual element space with degree of accuracy k, projector operators in the H 1-
seminorm onto polynomials of degree≤ k can be easily computed. On the other hand …
seminorm onto polynomials of degree≤ k can be easily computed. On the other hand …