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Boundary Element Method for Magnetohydrodynamic Flow 2D MHD Duct Flow Problems
Boundary Element Method for Magnetohydrodynamic Flow” offers one of the first systematic and detailed treatments of the application of boundary...
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Schemes of Finite Element Method for Solving Multidimensional Boundary Value Problems
We propose new computational schemes and algorithms of the finite element method for solving elliptic multidimensional boundary value problems with...
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Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements
This paper presents the coupling method of direct discontinuous Garlekin (DDG) and natural boundary element (NBE) for exterior interface problem. The...
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A High-Order Shifted Boundary Virtual Element Method for Poisson Equations on 2D Curved Domains
We consider a high-order virtual element method for Poisson problems with non-homogeneous Dirichlet boundary condition on 2D domains with curved...
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THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD FOR ONE-DIMENSIONAL NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
This article describes a numerical method based on the dual reciprocity boundary element method (DRBEM) for solving some well-known nonlinear...
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Virtual element method for elliptic Neumann boundary optimal control problem
In this paper, we study the virtual element discretization of an elliptic optimal control problem with pointwise Neumann boundary control constraint....
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Virtual Element Method for Control Constrained Dirichlet Boundary Control Problem Governed by the Diffusion Problem
This article develops a conforming virtual element method for a control-constrained Dirichlet boundary optimal control problem governed by the...
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Electric circuit element boundary conditions in the finite element method for full-wave passive electromagnetic devices
A natural coupling of a circuit with an electromagnetic device is possible if special boundary conditions, called Electric Circuit Element (ECE), are...
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A Hausdorff-measure boundary element method for acoustic scattering by fractal screens
Sound-soft fractal screens can scatter acoustic waves even when they have zero surface measure. To solve such scattering problems we make what...
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Inexact GMRES iterations and relaxation strategies with fast-multipole boundary element method
Boundary element methods produce dense linear systems that can be accelerated via multipole expansions. Solved with Krylov methods, this implies...
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Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions
This work deals with the spectral element discretization of the time-dependent Stokes problem in two- and three-dimensional domains. The boundary...
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The Nonconforming Virtual Element Method with Curved Edges
We introduce a nonconforming virtual element method for the Poisson problem on domains with fixed curved boundary and internal interfaces. We prove...
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Electrostatic Forces on Conductors with Boundary Element Methods in 3D
In this work we are concerned with computing local/global electrostatic forces and torques on perfect electrical conductors using the boundary...
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Generalized Boundary Integral Equation Method for Boundary Value Problems of Two-D Isotropic Lattice Laplacian
A generalized boundary integral equation method for boundary value problems of two-dimensional isotropic lattice Laplacian is proposed in this paper....
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Effectiveness of the stress solutions of 3-D V-notched/cracked structures by using extended boundary element method
In this paper, the extended boundary element method (XBEM) is proposed to calculate the stress fields of the three-dimensional (3-D)...
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Local a Posteriori Error Analysis of Finite Element Method for Parabolic Boundary Control Problems
We derive space-time local a posteriori error estimates of finite element approximations to Neumann boundary control problems governed by parabolic...
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Dirac method for nonlinear and non-homogenous boundary value problems of plates
The boundary value problem plays a crucial role in the analytical investigation of continuum dynamics. In this paper, an analytical method based on...
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Stabilised finite element method for Stokes problem with nonlinear slip condition
This work introduces a stabilised finite element formulation for the Stokes flow problem with a nonlinear slip boundary condition of friction type....
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Transversely Isotropic Homogeneous Medium with Absorbing Boundary Conditions: Elastic Wave Propagation Using Spectral Element Method
Particle displacements and stresses are calculated for studying elastic wave propagation in a transversely isotropic homogeneous medium. A mesh...
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Interior estimates for the virtual element method
We analyze the local accuracy of the virtual element method. More precisely, we prove an error bound similar to the one holding for the finite...
