# CENTERED FINITE VOLUME METHOD

### A 3D cell-centered ADER MOOD Finite Volume method for solving updated Lagrangian hyperelasticity on unstructured grids

**Finite**

**Volume**scheme for solving the hyperelasticity equations on unstructured multidimensional ...numerical

**method**is implemented in 3D un- der MPI parallelization framework allowing to ...

54

### A high-order finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids

**centered**

**finite**

**volume**

**method**for solving anisotropic diffusion on two-dimensional unstructured ...a

**finite**difference approx- imation, leading to the two variants CCLADS and ...

63

### A high-order cell-centered finite volume scheme for simulating three dimensional anisotropic diffusion equations on unstructured grids

**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

**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 ...

29

### An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow

**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 ...

31

### Numerical simulation of impacts on elastic-viscoplastic solids with the flux-difference splitting finite volume method

**finite**element

**method**coupled with

**centered**differences or Newmark

**finite**difference schemes in time ...The

**finite**

**volume**

**method**, initially developed for the ...

12

### A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS

**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**...

27

### Finite Volume Schemes for Vlasov

**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 ...

24

### Monotone combined finite volume-finite element scheme for a bone healing model

**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 ...

9

### On Vertex-Centered Unstructured Finite-Volume Methods for Stretched Anisotropic Triangulations

**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 ...

57

### Multidimensional corrections to cell-centered finite volume methods for Maxwell equations

**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, ...

27

### Error estimate of the Non Intrusive Reduced Basis method with finite volume schemes

**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 ...

21

### A 2D/3D Finite Volume Method used to solve the bidomain equations of electrocardiology

**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 ...

11

### Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary

**finite**

**volume**

**method**for weak solutions satisfying suitable entropy ...the

**finite**

**volume**

**method**which involves the notion of total flux ...

29

### Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions

**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 ...

9

### Finite volume method for general multifluid flows governed by the interface Stokes problem

41

### Structure-Preserving Finite Volume Method for 2D Linear and Non-Linear Port-Hamiltonian Systems

7

### On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model

**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 ...

30

### Finite Volume for Fusion Simulations

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### A second-order geometry-preserving finite volume method for conservation laws on the sphere

**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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