A fictitious domain method using equilibrated basis functions for harmonic and bi-harmonic problems in physics
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Publication:349324
DOI10.1016/j.jcp.2014.04.011zbMath1349.65653OpenAlexW1968148850MaRDI QIDQ349324
N. Noormohammadi, B. Boroomand
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2014.04.011
Chebyshev polynomialsdomain decompositionfictitious domain methodweighted residualmeshless methodhigh-order elementnon-constant coefficient
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Cites Work
- Unnamed Item
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- Unnamed Item
- Exponential basis functions in space and time: a meshless method for 2D time dependent problems
- Exponential basis functions in solution of incompressible fluid problems with moving free surfaces
- A locally refined rectangular grid finite element method: Application to computational fluid dynamics and computational physics
- Boundary integral equations
- The finite cell method for three-dimensional problems of solid mechanics
- Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
- The generalized finite point method
- Methods of fundamental solutions for harmonic and biharmonic boundary value problems
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
- An exact solution for the bending of thin rectangular plates with uniform, linear, and quadratic thickness variations.
- Stokes flow through a channel obstructed by horizontal cylinders
- A fictitious domain method for Dirichlet problem and applications
- The method of fundamental solutions for nonlinear functionally graded materials
- Exponential basis functions in solution of problems with fully incompressible materials: a mesh-free method
- A Trefftz method in space and time using exponential basis functions: application to direct and inverse heat conduction problems
- A meshless method using local exponential basis functions with weak continuity up to a desired order
- Simple modifications for stabilization of the finite point method
- Generalization of robustness test procedure for error estimators. Part I: formulation for patches near kinked boundaries
- Generalization of robustness test procedure for error estimators. Part II: test results for error estimators using SPR and REP
- Dynamic solution of unbounded domains using finite element method: discrete Green's functions in frequency domain
- Exponential basis functions in solution of static and time harmonic elastic problems in a meshless style
- Direct solution procedure for solution of harmonic problems using complete, non-singular, Trefftz functions
- Method of fictitious domains for a second-order elliptic equation with natural boundary conditions
- Element‐free Galerkin methods
- A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
- New concepts in meshless methods
- The method of functional equations for the approximate solution of certain boundary value problems
- Trefftz method: An overview
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