Found 278 Documents (Results 1–100)
Adaptive dynamic grids and mimetic finite difference method for miscible displacement problem. (English) Zbl 1542.65081
Summation-by-parts operators for general function spaces: the second derivative. (English) Zbl 07842870
A mimetic interpolation-free cell-centered finite volume scheme for the 2D and 3D heterogeneous anisotropic diffusion equations. (English) Zbl 07834877
The gradient discretisation method for the chemical reactions of biochemical systems. (English) Zbl 07825291
A novel projection-based embedded discrete fracture model (pEDFM) for anisotropic two-phase flow simulation using hybrid of two-point flux approximation and mimetic finite difference (TPFA-MFD) methods. (English) Zbl 07819075
A dispersion analysis of uniformly high order, interior and boundaries, mimetic finite difference solutions of wave propagation problems. (English) Zbl 1530.65140
A stable mimetic finite-difference method for convection-dominated diffusion equations. (English) Zbl 1533.65206
Mimetic Horava and surface terms. (English) Zbl 1535.83102
MSC:
83D05
Multi-dimensional summation-by-parts operators for general function spaces: theory and construction. (English) Zbl 07771286
High order mimetic differences applied to the convection-diffusion equation: a matrix stability analysis. (English) Zbl 1525.65018
Constant roll inflation in viscous mimetic matter-geometry coupling gravity. (Constant roll inflation in viscous mimetic matter-geomerty coupling gravity.) (English) Zbl 1531.83117
The null geodesics of charged and non-charged black hole in mimetic gravity. (English) Zbl 1532.83085
The curved mimetic finite difference method: allowing grids with curved faces. (English) Zbl 07715227
The tensor-train mimetic finite difference method for three-dimensional Maxwell’s wave propagation equations. (English) Zbl 1540.78028
Dual models for \(p\)-form mimetic gravity and their connection to perfect fluids consisting of \((p+1)\)-branes. (English) Zbl 1523.83013
Summation-by-parts operators for general function spaces. (English) Zbl 1529.65066
Reviewer: Jan Giesselmann (Darmstadt)
Efficient WENO-based prolongation strategies for divergence-preserving vector fields. (English) Zbl 1524.65449
Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design. (English) Zbl 1524.35142
Use of algebraic dual spaces in domain decomposition methods for Darcy flow in 3D domains. (English) Zbl 07644872
A fully-implicit parallel framework for complex reservoir simulation with mimetic finite difference discretization and operator-based linearization. (English) Zbl 1496.65198
First-order continuation method for steady-state variably saturated groundwater flow modeling. (English) Zbl 1501.65092
Reviewer: Abdallah Bradji (Annaba)
Von Neumann stability analysis of DG-like and P\(N\)P\(M\)-like schemes for PDEs with globally curl-preserving evolution of vector fields. (English) Zbl 1513.76097
Flow and transport in three-dimensional discrete fracture matrix models using mimetic finite difference on a conforming multi-dimensional mesh. (English) Zbl 07561073
A method for generating moving, orthogonal, area preserving polygonal meshes. (English) Zbl 07518049
A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations. I: Periodic domains. (English) Zbl 07517164
Novel numerical techniques based on mimetic finite difference method for pricing two dimensional options. (English) Zbl 1485.91247
Numerical solution of the time fractional order diffusion equation with mixed boundary conditions using mimetic finite difference. (English) Zbl 07907317
An implementation of mimetic finite difference method for fractured reservoirs using a fully implicit approach and discrete fracture models. (English) Zbl 07516474
The role of the dual grid in low-order compatible numerical schemes on general meshes. (English) Zbl 07513849
Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere. (English) Zbl 07512375
Application of discrete mechanics model to jump conditions in two-phase flows. (English) Zbl 07511684
Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator. (English) Zbl 07508509
A mimetic method for polygons. (English) Zbl 07508458
A hybrid mimetic spectral element method for three-dimensional linear elasticity problems. (English) Zbl 1515.74079
A gradient discretisation method for anisotropic reaction-diffusion models with applications to the dynamics of brain tumors. (English) Zbl 07446781
Multigrid reduction preconditioning framework for coupled processes in porous and fractured media. (English) Zbl 1507.74375
Convergence of the mimetic finite difference and fitted mimetic finite difference method for options pricing. (English) Zbl 1508.91612
Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics. (English) Zbl 1506.74390
Error estimates for the gradient discretisation method on degenerate parabolic equations of porous medium type. (English) Zbl 1470.76097
Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 37-72 (2021).
A finite-element framework for a mimetic finite-difference discretization of Maxwell’S equations. (English) Zbl 1470.35348
Forward modelling of geophysical electromagnetic data on unstructured grids using an adaptive mimetic finite-difference method. (English) Zbl 1460.86003
A generalised complete flux scheme for anisotropic advection-diffusion equations. (English) Zbl 1465.65115
Reviewer: Abdallah Bradji (Annaba)
Explicit geometric construction of sparse inverse mass matrices for arbitrary tetrahedral grids. (English) Zbl 1506.65143
MSC:
65M22
Petrov-Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems. (English) Zbl 1524.65562
High order mimetic difference simulation of unsaturated flow using Richards equation. (English) Zbl 07599480
A preconditioned, multilevel mimetic finite difference method for solving the pressure-velocity system. (English) Zbl 07505608
Discrete vector calculus and Helmholtz Hodge decomposition for classical finite difference summation by parts operators. (English) Zbl 1476.65281
A fully implicit mimetic finite difference scheme for general purpose subsurface reservoir simulation with full tensor permeability. (English) Zbl 1453.76120
A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere. (English) Zbl 1453.86025
Alternating direction implicit time integrations for finite difference acoustic wave propagation: parallelization and convergence. (English) Zbl 1519.76217
High-order mimetic finite-difference operators satisfying the extended Gauss divergence theorem. (English) Zbl 1524.65708
Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity. (English) Zbl 1542.83029
Alive and well: mimetic gravity and a higher-order extension in light of GW170817. (English) Zbl 1475.83021
A higher order approximate static condensation method for multi-material diffusion problems. (English) Zbl 1452.65303
Dispersion analysis of compatible Galerkin schemes on quadrilaterals for shallow water models. (English) Zbl 1452.86006
A symmetry preserving scheme for three-dimensional Lagrangian radiation hydrodynamic simulations of ICF capsule implosion. (English) Zbl 1466.76043
The high-order mixed mimetic finite difference method for time-dependent diffusion problems. (English) Zbl 1428.65013
J. Sci. Comput. 80, No. 3, 1805-1830 (2019); correction ibid. 80, No. 3, 1831 (2019).
Limiting curvature mimetic gravity and its relation to loop quantum cosmology. (English) Zbl 1419.83029
Non-singular black holes and the limiting curvature mechanism: a Hamiltonian perspective. (English) Zbl 1536.83045
Gauge field mimetic cosmology. (English) Zbl 1536.83176
Spectral mimetic least-squares methods on curvilinear grids. (English) Zbl 1476.65316
Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 111-118 (2018).
MSC:
65N35
Spectral mimetic least-squares method for div-curl systems. (English) Zbl 1476.65315
Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 103-110 (2018).
Mimetic discretization of the eikonal equation with Soner boundary conditions. (English) Zbl 1427.65158
Charged and non-charged black hole solutions in mimetic gravitational theory. (English) Zbl 1423.83062
A mixed mimetic spectral element model of the rotating shallow water equations on the cubed sphere. (English) Zbl 1416.65353
A study of mimetic and finite difference methods for the static diffusion equation. (English) Zbl 1419.65093
Dispersion analysis of compatible Galerkin schemes for the 1D shallow water model. (English) Zbl 1415.65225
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