Titlebook: Simplicial Partitions with Applications to the Finite Element Method; Jan Brandts,Sergey Korotov,Michal Křížek Book 2020 Springer Nature S

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Jan Brandts,Sergey Korotov,Michal KřížekProvides an accessible introduction to the finite element method (FEM), requiring only minimal prerequisites.Emphasizes angle conditions for FEM convergence for elliptic PDEs with boundary conditions.

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Introduction,over complicated three-dimensional structures, and even in dimensions higher than three. The construction of simplicial partitions is an important task, since not all structures can be decomposed into simpler objects such as .-dimensional rectangular blocks.

CIS

Nonobtuse Simplicial Partitions, solving the Laplace or Poisson equation by the finite element method, they yield irreducible and diagonally dominant stiffness matrices when the discretization parameter is small enough and guarantee the validity of the discrete maximum principle (see Sects. . and .).

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978-3-030-55679-2Springer Nature Switzerland AG 2020

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1439-7382 FEM convergence for elliptic PDEs with boundary conditions.This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of prob

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Book 2020 has become an essential part of physics and engineering, for example in the study of problems involving heat conduction, linear elasticity, semiconductors, Maxwell‘s equations, Einstein‘s equations and magnetic and gravitational fields..These problems require the simulation of various phenomena and

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Nonobtuse Simplicial Partitions, solving the Laplace or Poisson equation by the finite element method, they yield irreducible and diagonally dominant stiffness matrices when the discretization parameter is small enough and guarantee the validity of the discrete maximum principle (see Sects. . and .).