CENTERED FINITE VOLUME METHOD
A 3D cell-centered ADER MOOD Finite Volume method for solving updated Lagrangian hyperelasticity on unstructured grids
... Lagrangian Finite Volume scheme for solving the hyperelasticity equations on unstructured multidimensional ...numerical method is implemented in 3D un- der MPI parallelization framework allowing to ...
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A high-order finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids
... cell-centered finite volume method for solving anisotropic diffusion on two-dimensional unstructured ...a finite difference approx- imation, leading to the two variants CCLADS and ...
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A high-order cell-centered finite volume scheme for simulating three dimensional anisotropic diffusion equations on unstructured grids
... a finite volume based cell-centered method for solving diffusion equa- tions on three-dimensional unstructured grids with general tensor ...proposed finite volume method ...
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A geometry-preserving finite volume method for compressible fluids on Schwarzschild spacetime
... the finite volume scheme introduced in the previous subsection by imposing that the same property must hold at the discrete level of approximation for the family of discrete steady ...
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An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
... a finite element discretization. In this paper we focus on the finite volume method [ 29 ...cell-centered finite volume scheme with phase-by-phase upstream weighting (the ...
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Numerical simulation of impacts on elastic-viscoplastic solids with the flux-difference splitting finite volume method
... classical finite element method coupled with centered differences or Newmark finite difference schemes in time ...The finite volume method, initially developed for the ...
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A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS
... duality finite volume approaches in 3D. Given a finite volume mesh, the 2D DDFV method relies on the diamond formula [9] to compute gradients of the unknown u from finite ...
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Finite Volume Schemes for Vlasov
... semi-Lagrangian method (Lag3 and ...the centered reconstruction PPM1 are emphasized, when (very) small time steps are used, whereas the uncentered reconstructions LAG3 and LAG5 are insensitive to the ...
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Monotone combined finite volume-finite element scheme for a bone healing model
... FV method with an upwind discretization of the convective terms provides the stability and is extremely ...the finite element (FE) method allows for an easy discretization of diffusive terms with ...
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On Vertex-Centered Unstructured Finite-Volume Methods for Stretched Anisotropic Triangulations
... vertex centered finite-volume formulation on ...Galerkin method for obtaining median cells, we introduce a for- mulation characterized by a modified differentiation operator, in which edgewise ...
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Multidimensional corrections to cell-centered finite volume methods for Maxwell equations
... nite volume solutions to Maxwell equations often show some mesh dependent ...Besides finite volume methods compute fluxes across edges in definite directions, increasing the directional effects, ...
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Error estimate of the Non Intrusive Reduced Basis method with finite volume schemes
... The method can be extended to other classical discretizations but the key ingredient is a better approximation rate in the L 2 norm than in the energy norm, thanks to the Aubin-Nitsche’s trick that is easy for ...
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A 2D/3D Finite Volume Method used to solve the bidomain equations of electrocardiology
... control volume denoted by A, by joining the centers of gravity and the midpoints of the cells and edges that share a as a common ...the method is to write two finite volumes schemes on the two ...
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Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary
... the finite volume method for weak solutions satisfying suitable entropy ...the finite volume method which involves the notion of total flux ...
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Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions
... new finite volume method for computing numerical approx- imations of a system of nonlocal transport equation modeling interacting ...This method is based on the work ...the method, and ...
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Finite volume method for general multifluid flows governed by the interface Stokes problem
... 1.2.2. Consideration on the discontinuities of the viscosity. Even for scalar diffusion problems, it is known that such discontinuities in the coefficients imply a consistency defect in the numerical fluxes of usual finite ...
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Structure-Preserving Finite Volume Method for 2D Linear and Non-Linear Port-Hamiltonian Systems
... Keywords: Port-Hamiltonian systems pHs, distributed-parameter system DPS, systems of conservation laws, structure-preserving discretization, finite volume method FVM, symplectic integrat[r] ...
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On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model
... of volume-filling mecha- nism and leads to a nonlinear degenerate parabolic ...control volume finite element scheme, where an upwind finite volume scheme is used for the approxima- tion ...
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Finite Volume for Fusion Simulations
... MHD equations and issues Free-divergence Scheme with projection Numerical tests.. Finite Volume for Fusion Simulations.[r] ...
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A second-order geometry-preserving finite volume method for conservation laws on the sphere
... element method for shallow water system on the ...Galerkin method which combines the finite element with finite volume ...two finite volume methods to solve linear ...
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