Keywords: primary; 65M50; 65N50; secondary; 65N30; Hamiltonian triangulations; Space-filling curve; Mesh refinement; Longest edge;
مقالات ISI (ترجمه نشده)
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Keywords: 65M06; 65M12; 65M50; 65Z05; 78A15; 78M20; Paraxial wave equation; Radial symmetry; High oscillations; Compact algorithm; Decompositions; Stability;
Keywords: Cancer modeling; Chemotaxis; Merging and emerging concentrations; Finite volume method; IMEX; Adaptive mesh refinement92B05; 35Q92; 65M08; 65M50
Keywords: 65M60; 65M50; Finite element method; Adaptive mesh refinement; Turbulence simulation;
Keywords: 65M08; 65M50; 65M99; 35Q86Goal-oriented a posteriori error estimate; Finite volume methods; Transport equations; Shallow water equations; Adaptive mesh refinement
Nodal superconvergence of the local discontinuous Galerkin method for singularly perturbed problems
Keywords: 65L10; 65L20; 65L60; 65M50; Local discontinuous Galerkin method; Singularly perturbed problems; Local error estimates; Superconvergence;
Longest-edge nn-section algorithms: Properties and open problems
Keywords: 65N50; 65N30; 65M50; 65Y20Longest-edge nn-section algorithm; Simplicial partition; Angle conditions; Finite element method; Mesh refinement; Mesh regularity
A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes
Keywords: 65M50; 65M60; 65L50; 65L60; Mesh adaptation; Equidistribution; Error analysis; Finite element method;
Nondegeneracy tests for hexahedral cells
Keywords: 65M50; 65M06; 65M60Nondegenerate grids; Hexahedral cells; Nondegeneracy tests
An exponential transformation based splitting method for fast computations of highly oscillatory solutions
Keywords: 65M06; 65M50; 65Z05; 78A15; 78M20Splitting method; Transformations; Linear and nonlinear equations; Highly oscillatory wave problems; Asymptotic stability; Algorithmic efficiency
Adaptive hphp-FEM with dynamical meshes for transient heat and moisture transfer problems
Keywords: 65M50; 65M60; 80M10Multiphysics problems; Heat and moisture transfer; Higher-order methods; hphp-FEM; Space–time adaptivity; Dynamical meshes; Open source software
Discrete maximum principle for parabolic problems solved by prismatic finite elements
Keywords: 65M60; 65M20; 65M50; 35B50; 35K20Parabolic problem; Maximum principle; Prismatic finite elements; Discrete maximum principle
On global and local mesh refinements by a generalized conforming bisection algorithm
Keywords: 65M50; 65N30; 65N50Zlámal’s minimum angle condition; Finite element method; Nested triangulations; Conforming longest-edge bisection algorithm; High aspect ratio elements
Coherent Vortex Simulation of weakly compressible turbulent mixing layers using adaptive multiresolution methods
Keywords: 65M50; 80A32; 76V05Coherent vortex simulation; Turbulence; Finite volumes; Adaptivity; Multiresolution
A high-resolution mapped grid algorithm for compressible multiphase flow problems
Keywords: 65M06; 65M50; 65Y15; 35L60; 58J45Compressible multiphase flow; Fluid-mixture model; Mapped grids; Wave-propagation method; Stiffened gas equation of state
A novel PDE based image restoration: Convection–diffusion equation for image denoising
Keywords: 65M50; 65M60; 68U10; 76M10; 94A08Image denoising; Edge detection; Compression; Streamline diffusion method; Adaptive finite element; Convection-diffusion
Comparison of different spatial grids for numerical schemes of geophysical fluid dynamics
Keywords: 30C20; 65M50; 86A30Grid generation; Spherical domains; Numerical schemes; Geophysical fluid dynamics
Multiscale cell-based coarsening for discontinuous problems
Keywords: 42C40; 65M50; Generalized wavelets; Grid refinement; Multiresolution analysis;
An adaptive solver for the spherical shallow water equations
Keywords: 65M50; 65M20; 76B60; 86A10; Shallow water; p-Adaptive; Finite difference; Partial differential equations;
Numerical simulation of blowup in nonlocal reaction–diffusion equations using a moving mesh method
Keywords: 65R20; 65N50; 65M50; 35K55; 35K57; 65N35Blowup; Nonlocal reaction–diffusion equations; Integro-differential equations; Moving mesh methods
Moving mesh methods for blowup in reaction–diffusion equations with traveling heat source
Keywords: 65N50; 65M50; 35K55; 35K57Blowup; Reaction–diffusion equations; Moving mesh methods
An accurate adaptive solver for surface-tension-driven interfacial flows
Keywords: 65M50; 76D05; 76D25; 76D45; 76M12; 76T10Adaptive mesh refinement; Surface-tension; Navier–Stokes equations; Height-Function; Parasitic currents; Volume-Of-Fluid; Octree
Adaptive techniques for Landau–Lifshitz–Gilbert equation with magnetostriction
Keywords: 65M15; 65M50; 82D40; 74B20Micromagnetism; Maxwell's equations; Magnetostriction; Numerical methods; Space–time a posteriori error estimates
Adaptive finite element frequency domain method for eddy current problems
Keywords: 65M60; 65M50; 78A25Time-harmonic Maxwell’s equations; Eddy current; Adaptive finite element method; Multiply connected domain
hphp-Adaptive least squares spectral element method for hyperbolic partial differential equations
Keywords: 65M50; 65M60; 65M70Least-squares formulation; Spectral element method; Mortar element method; Error indicator; Sobolev regularity estimation
On grid generation for numerical models of geophysical fluid dynamics
Keywords: 30C20; 65M50; 86A30Geophysical fluid dynamics; Numerical models; Conformal mappings; Computational grids
Valuing Asian options using the finite element method and duality techniques
Keywords: 65M15; 65M50; 65M60Finite element method; Galerkin; Duality; A posteriori error estimation; Mesh refinement; Adaptivity; Option pricing; Brownian motion; Asian option; Average option
An effective z-stretching method for paraxial light beam propagation simulations
Keywords: 65M06; 65M50; 65Z05; 78A15; 78M20Light beam propagation; Interface singularity; Finite difference approximations; Domain transformation; Consistency; Stability; Uniform and nonuniform grids
Mesh generation technology for nuclear reactor simulation; barriers and opportunities
Keywords: 65M50; 51P05; 65N30
A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations
Keywords: 65N50; 65M50; 35K55; 35K57; 65N35Moving mesh; Blowup; Reaction diffusion equations; Mesh adaptation
An adaptive multiresolution scheme with local time stepping for evolutionary PDEs
Keywords: 65M50; 80A32; 76V05Finite volume; Adaptivity; Multiresolution; Evolutionary partial differential equation
A local directional ghost cell approach for incompressible viscous flow problems with irregular boundaries
Keywords: 65M06; 65M50; 76D05; 76M2002.60.Cb; 02.70.Bf; 47.11.BcIncompressible Navier–Stokes equation; Immersed boundary method; Ghost cell method; Cartesian grid; Irregular domain; Finite difference methods
An attempt at the computer-aided management of HIV infection
Keywords: 37M05; 65M06; 65M50; 65M55; 92B05; 92C05; 92C30; 92C35; 92C45; 92C50; Mathematical model; Time-dependent evolution equation; Immune system; Semi-implicit product formula; Continuous model; Numerical model; HIV infection process; Antiretroviral therapy; Co
Computation of air flows and motion of environmental pollutants over complex geographical topographies
Keywords: 37M05; 65M06; 65M50; 65M55; 92-08; 35Q30; 76D05; 76Z99Environmental fluid; Ecological system; Computational fluid dynamics; Advective diffusion process; Numerical simulation; Environmental disrupter; Numerical map; Three dimensional visualization
Continuum simulations of acetylcholine diffusion with reaction-determined boundaries in neuromuscular junction models
Keywords: 74S05; 65M50; 65M60; Finite element method; Synaptic transmission; Substrate inhibition; Reaction-determined boundaries;
A mathematical approach to HIV infection dynamics
Keywords: 37M05; 65M06; 65M50; 65M55; 92B05; 92C05; 92C30; 92C35; 92C45; 92C50Mathematical model; Time-dependent evolution equation; Dynamics of host pathogen interaction with HIV1; Semi-implicit product formula; Continuous model; Discrete model; HIV infection proc
Unstructured surface mesh adaptation using the Laplace–Beltrami target metric approach
Keywords: 65M50; 51P05; 65N30Finite elements; Galerkin methods; Surface mesh generation; Surface mesh adaptation
A cell by cell anisotropic adaptive mesh ALE scheme for the numerical solution of the Euler equations
Keywords: 65M50; 76N15ALE; Mesh refinement
An adaptive, formally second order accurate version of the immersed boundary method
Keywords: 65M06; 65M50; 74S20; 76D05; 92C10; 92C35Immersed boundary method; Fluid–structure interaction; Adaptive mesh refinement; Projection method; Convergence; Cardiac mechanics; Blood flow; Hemodynamics
Smoothed Particle ElectroMagnetics: A mesh-free solver for transients
Keywords: 65M50; 65M99; 65K05Mesh-free particle method; Smoothed particle hydrodynamics; Maxwell's equations; Electromagnetic transients
Resolving small-scale structures in Boussinesq convection by adaptive grid methods
Keywords: 65M06; 65M50; 35Q35; 76B70Adaptive mesh method; Finite volume method; Incompressible flow; Boussinesq convection
A robust moving mesh finite volume method applied to 1D hyperbolic conservation laws from magnetohydrodynamics
Keywords: 02.70.Bf; 52.30.Cv; 52.35.Bj; 52.35.Tc; 52.65.Kj35L60; 35L65; 65M50; 76L05; 76M12; 76W05Moving mesh; Adaptive mesh refinement; Monitor function; Finite volumes; Conservation laws; Magnetohydrodynamics
A MATLAB implementation of upwind finite differences and adaptive grids in the method of lines
Keywords: 65M20; 65M06; 65M50; Partial differential equations; Grid refinement; Moving grid; Catalytic combustion; Flame propagation; Korteweg-de Vries equation;
A finite element method for three-dimensional unstructured grid smoothing
Keywords: 65M50; 51P05; 65N30; Finite elements; Galerkin methods; Mesh generation; Elliptic smoothing;
Numerical exploration of a system of reaction-diffusion equations with internal and transient layers
Keywords: 35K57; 65M50; 65M60; 76N20; Reaction-diffusion equation; Internal layer; Transient layer; Method of lines; Finite element method;
Metric tensors for anisotropic mesh generation
Keywords: 65M50; 65M60; 65L50; 65L60; Anisotropic mesh generation; Mesh adaptation; Equidistribution; Error analysis; Finite element method;