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Everything about Boundary element method
Method of solving linear partial differential equations
The boundary element method (BEM) is a numerical computational method of solving linear partial differential equations (PDEs) arising in engineering and mathematical modeling. It is similar to the more widely used finite element method, in that it breaks down the object of study into a series of points in space and then iteratively applies calculations at the points. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Boundary element methodA 5-minute orientation
- Skim a recent paper: Nanoscale electromagnetism with the boundary element methodInfluential work since 2022
- Pick up a classic book: The complex variable boundary element methodThe most-reprinted book on the subject
- Read the landmark paper: Boundary element-free method for elastodynamicsCited 115 times
- Go sideways: Computational electromagneticsA closely related topic
- Go sideways: Numerical methods for partial differential equationsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Boundary element-free method for elastodynamics
The scaled boundary finite-element method – a fundamental solution-less boundary-element method
A variationally coupled finite element-boundary element method
The boundary element method in plasticity
Error estimation for boundary element method
Three-Dimensional Piezoelectric Boundary Element Method
The boundary element method in elasticity
Symmetric boundary element method versus finite element method
🆕 Influential since 2022
Nanoscale electromagnetism with the boundary element method
NURBS-boundary-based quadtree scaled boundary finite element method study for irregular design domain
Surface‐Only Dynamic Deformables using a Boundary Element Method
Finite Element-Boundary Element Method Based Simulations of Electromagnetic Railgun in Augmented Configurations
Isogeometric boundary element method for isotropic damage elastic mechanical problems
📚 Books worth reading
The complex variable boundary element methodTheodore V. Hromadka · 1984
Finite and boundary element methods in engineeringGupta, O. P. · 1999
Fast Multipole Boundary Element MethodYijun Liu · 2009- 📕Introduction to Boundary Element MethodsPrem K. Kythe · 2020
- 📕Finite Element Method for Boundary Value ProblemsKaran S. Surana, J. N. Reddy · 2016
The finite element methodThomas J. R. Hughes · 1987
A Practical Guide to Boundary Element Methods with the Software Library BEMLIBC. Pozrikidis · 2002
Scaled Boundary Finite Element MethodChongmin Song · 2018
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Computational electromagnetics Computational electromagnetics (CEM), computational electrodynamics or electromagnetic modeling is the process of modeling the interaction of electromagnetic…
- Numerical methods for partial differential equations Numerical methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations…
- Electromagnetic field solver Electromagnetic field solvers (or sometimes just field solvers) are specialized programs that solve (a subset of) Maxwell's equations directly. They form…
- Finite element method Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical…
- Regularized meshless method In numerical mathematics, the regularized meshless method (RMM), also known as the singular meshless method or desingularized meshless method, is a meshless…
- Hp-FEM hp-FEM is a generalization of the finite element method (FEM) for solving partial differential equations numerically based on piecewise-polynomial approximation…
- Smoothed finite element method Smoothed finite element methods (S-FEM) are a particular class of numerical simulation algorithms for the simulation of physical phenomena. It was developed…
- Method of fundamental solutions In scientific computation and simulation, the method of fundamental solutions (MFS) is a technique for solving partial differential equations based on…