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Nitsche’s method for elliptic Dirichlet boundary control problems on curved domains
We consider Nitsche’s method for solving elliptic Dirichlet boundary control problems on curved domains with control constraints. By using Nitsche’s...
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Robust Iterative Solvers for Algebraic Systems Arising from Elliptic Optimal Control Problems
We consider tracking-type, distributed elliptic optimal control problems with standard...
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On the use of elliptic PDEs for the parameterisation of planar multipatch domains
This paper presents a parameterisation framework based on (inverted) elliptic PDEs for addressing the planar parameterisation problem of finding a...
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Element-free Galerkin analysis of MHD duct flow problems at arbitrary and high Hartmann numbers
A stabilized element-free Galerkin (EFG) method is proposed in this paper for numerical analysis of the generalized steady MHD duct flow problems at...
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Overlap** Schwarz Preconditioner for Fourth Order Multiscale Elliptic Problems
In this paper, a domain decomposition parallel preconditioner for the 4th order multiscale elliptic problem in 2D with highly heterogeneous...
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Differential evolution based computation intelligence solver for elliptic partial differential equations
A differential evolution based methodology is introduced for the solution of elliptic partial differential equations (PDEs) with Dirichlet and/or...
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Preserving superconvergence of spectral elements for curved domains via h- and p-geometric refinement
Spectral element methods (SEM), extensions of finite element methods (FEM), have emerged as significant techniques for solving partial differential...
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A hybrid smoothed moving least-squares interpolation method for acoustic scattering problems
The discrete model in the traditional finite element method (FEM) inevitably behaves more stiffly than the corresponding continuous model. This...
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A weak Galerkin finite element method for singularly perturbed problems with two small parameters on Bakhvalov-type meshes
A weak Galerkin finite element method is proposed and analyzed for solving two-parameter singularly perturbed differential equations on...
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Simultaneous Space-Time Finite Element Methods for Parabolic Optimal Control Problems
This work presents, analyzes and tests stabilized space-time finite element methods on fully unstructured simplicial space-time meshes for the...
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Two-grid methods of finite element solutions for semi-linear elliptic interface problems
In this paper, we present two efficient two-grid algorithms for solving two-dimensional semi-linear elliptic interface problems using finite element...
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Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities
The unpreconditioned hybrid domain decomposition method was recently shown to be a competitive solver for linear elliptic PDE problems discretized by...
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A Matlab software for approximate solution of 2D elliptic problems by means of the meshless Monte Carlo random walk method
This paper is devoted to the development of an innovative Matlab software, dedicated to the numerical analysis of two-dimensional elliptic problems,...
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P1 finite element methods for a weighted elliptic state-constrained optimal control problem
We investigate a P 1 finite element method for a two-dimensional weighted optimal control problem arising from a three-dimensional (3D) axisymmetric...
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A hybridizable discontinuous triangular spectral element method on unstructured meshes and its hp-error estimates
In this paper, a hybridizable discontinuous triangular spectral element method (HDTSEM) using tensorial nodal basis functions on unstructured meshes...
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Neural network approach for solving nonlocal boundary value problems
This paper proposes a radial basis function (RBF) network-based method for solving a nonlinear second-order elliptic equation with Dirichlet boundary...
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Colliding bodies optimization with Morlet wavelet mutation and quadratic interpolation for global optimization problems
This paper represents a new variant of colliding bodies optimization (CBO) and the objective is to alleviate the lack of population diversity,...
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Isogeometric analysis of shear-deformable, in-plane functionally graded microshells by Mindlin’s strain gradient theory
This paper proposes a general strain-gradient and shear-deformable isogeometric microshell formulation based on the complete Mindlin’s form II strain...
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A fully Lagrangian mixed discrete least squares meshfree method for simulating the free surface flow problems
This paper presents a fully Lagrangian mixed discrete least squares meshfree (MDLSM) method for simulating the free surface problems. In the proposed...
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A numerical implementation for the high-order 2D virtual element method in MATLAB
We present a numerical implementation for the Virtual Element Method that incorporates high order spaces. We include all the required computations in...
