Found 306 Documents (Results 1–100)
Higher-order uniform convergence and order reduction analysis of a novel fractional-step FMM for singularly perturbed 2D parabolic PDEs with time-dependent boundary data. (English) Zbl 07924001
A high-performance semi-implicit two-phase two-layer MPM framework for modeling granular mass-water interaction problems. (English) Zbl 07867447
On the stability of a central difference scheme with a stabilizing correction for the 3D transport equation. (English) Zbl 07866004
Accelerated finite volume schemes for dynamic convection-dominant power-law fluid flows. (English) Zbl 1539.76121
A semi-implicit material point method for coupled thermo-hydro-mechanical simulation of saturated porous media in large deformation. (English) Zbl 1536.76131
Error estimates of an operator-splitting finite element method for the time-dependent natural convection problem. (English) Zbl 07777003
Consistent splitting schemes for incompressible viscoelastic flow problems. (English) Zbl 1534.76058
Non-relaxed finite volume fractional step schemes for unsteady incompressible flows. (English) Zbl 1538.76048
Robust numerical method for space shift 2D singularly perturbed parabolic convection diffusion differential equations. (English) Zbl 1524.35289
A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows. (English) Zbl 1510.78012
A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations. (English) Zbl 1500.65062
Computational multiphase periporomechanics for unguided cracking in unsaturated porous media. (English) Zbl 1540.74126
Finite element numerical simulation of local scour of a three-dimensional cylinder under steady flow. (English) Zbl 1525.76062
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
A second-order fractional step method for two-dimensional delay parabolic partial differential equations with a small parameter. (English) Zbl 1495.65134
Comparison of different time discretization schemes for solving the Allen-Cahn equation. (English) Zbl 07565169
An immersed boundary projection method for solving the fluid-rigid body interaction problems. (English) Zbl 07561060
Fully decoupled pressure projection scheme for the numerical solution of diffuse interface model of two-phase flow. (English) Zbl 07540492
A stabilized fractional-step finite element method for the time-dependent Navier-Stokes equations. (English) Zbl 07533155
Dynamic analysis of large deformation problems in saturated porous media by smoothed particle finite element method. (English) Zbl 1507.76174
A VMS-based fractional step technique for the compressible Navier-Stokes equations using conservative variables. (English) Zbl 07525129
Optimal \(H^1\) error analysis of a fractional step finite element scheme for a hybrid MHD system. (English) Zbl 07905186
A multi-GPU method for ADI-based fractional-step integration of incompressible Navier-Stokes equations. (English) Zbl 07695375
Numerical investigation of viscous effects on the nonlinear Burgers equation. (English) Zbl 1493.65153
An immersed boundary projection method for incompressible interface simulations in 3D flows. (English) Zbl 07506522
Three-dimensional dynamics of a pair of deformable bubbles rising initially in line. I: Moderately inertial regimes. (English) Zbl 1503.76114
A fast transient solver for low-Mach number aerodynamics and aeroacoustics. (English) Zbl 1521.76602
A cell-based smoothed finite element method stabilized by implicit SUPG/SPGP/fractional step method for incompressible flow. (English) Zbl 1464.76056
An immersed boundary projection method for simulating the inextensible vesicle dynamics. (English) Zbl 07505613
A new higher order fractional-step method for the incompressible Navier-Stokes equations. (English) Zbl 1488.65217
Error analysis of a new fractional-step method for the incompressible Navier-Stokes equations with variable density. (English) Zbl 1450.65115
Reviewer: Dana Černá (Liberec)
Fourth-order accurate fractional-step IMEX schemes for the incompressible Navier-Stokes equations on moving overlapping grids. (English) Zbl 1442.76079
Implicit heat flux correction-based immersed boundary-finite volume method for thermal flows with Neumann boundary conditions. (English) Zbl 1452.76115
Mathematical analysis of the Jin-Neelin model of El Niño-Southern-Oscillation. (English) Zbl 1405.35079
Improving the pressure accuracy in a projection scheme for incompressible fluids with variable viscosity. (English) Zbl 1459.76078
A new family of projection schemes for the incompressible Navier-Stokes equations with control of high-frequency damping. (English) Zbl 1440.76077
Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection-diffusion problems on Shishkin mesh. (English) Zbl 1409.65052
Fractional step method for singularly perturbed 2D delay parabolic convection diffusion problems on Shishkin mesh. (English) Zbl 1401.65092
Fractional-step \(\theta\)-method for solving singularly perturbed problem in ecology. (English) Zbl 1415.65169
Convergence analysis of mixed volume element-characteristic mixed volume element for three-dimensional chemical oil-recovery seepage coupled problem. (English) Zbl 1399.65311
Convergence of exponential attractors for a time splitting approximation of the Caginalp phase-field system. (English) Zbl 1375.37167
Mixed volume element-characteristic fractional step difference method for contamination from nuclear waste disposal. (English) Zbl 1457.65123
Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry. (English) Zbl 1476.76089
Error analysis of a fractional-step method for magnetohydrodynamics equations. (English) Zbl 1388.76121
Avoiding the order reduction when solving second-order in time PDEs with fractional step Runge-Kutta-Nyström methods. (English) Zbl 1443.65173
Analysis and simulations of coupled bulk-surface reaction-diffusion systems on exponentially evolving volumes. (English) Zbl 1458.35412
A fractional-step thermal lattice Boltzmann model for high Peclet number flow. (English) Zbl 1443.76169
An efficient parallel immersed boundary algorithm using a pseudo-compressible fluid solver. (English) Zbl 1351.76130
A finite volume method to solve the compressible Navier-Stokes system on unstructured mesh. (English) Zbl 1329.65194
A complementary study of analytical and computational fluid-structure interaction. (English) Zbl 1398.74079
Simulation of laminar backward facing step flow under magnetic field with explicit local radial basis function collocation method. (English) Zbl 1403.76196
A fractional step axisymmetric lattice Boltzmann flux solver for incompressible swirling and rotating flows. (English) Zbl 1391.76812
Fully implicit time-stepping schemes and non-linear solvers for systems of reaction-diffusion equations. (English) Zbl 1336.65167
Expanded mixed finite element domain decomposition methods on triangular grids. (English) Zbl 1310.65091
On the error estimates of a new operator splitting method for the Navier-Stokes equations. (English) Zbl 1313.76025
Natural convection heat transfer at high Rayleigh numbers – extended meshless local Petrov-Galerkin (MLPG) primitive variable method. (English) Zbl 1297.80003
MSC:
80A20
65M60
Simulation of natural convection influenced by magnetic field with explicit local radial basis function collocation method. (English) Zbl 1356.76441
Fractional step method for the nonlinear conservation laws with fractional dissipation. (English) Zbl 1319.65078
Li, Changpin (ed.) et al., Recent advances in applied nonlinear dynamics with numerical analysis. Fractional dynamics, network dynamics, classical dynamics and fractal dynamics with their numerical simulations. Festschrift dedicated to Zhong-hua Yang on the occasion of his 70th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4436-45-8/hbk; 978-981-4436-47-2/ebook). Interdisciplinary Mathematical Sciences 15, 69-82 (2013).
Solution of three-dimensional viscous flows using integral velocity-vorticity formulation. (English) Zbl 1351.76133
Accelerating incompressible flow calculations using a quasi-implicit scheme: local and dual time stepping approaches. (English) Zbl 1311.76045
MSC:
76M10
Error estimate and adaptive refinement for incompressible Navier-Stokes equations using the discrete least squares meshless method. (English) Zbl 1253.76056
Variable step-size fractional step Runge-Kutta methods for time-dependent partial differential equations. (English) Zbl 1251.65135
An integro-differential conservation law arising in a model of granular flow. (English) Zbl 1248.35118
A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs. (English) Zbl 1245.35082
Numerical resolution of linear evolution multidimensional problems of second order in time. (English) Zbl 1255.65101
Reviewer: Roland Pulch (Wuppertal)
Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions. (English) Zbl 1400.76049
A posteriori error estimates for the fractional-step \(\vartheta \)-scheme for linear parabolic equations. (English) Zbl 1242.65186
Reviewer: Petr Sváček (Praha)
The differential multipoint boundary value problem for 2D shape-preserving splines. (English) Zbl 1251.41003
Reviewer: V. Leontiev (Ul’yanovsk)
A robust approach to model densification and crack formation in powder compaction processes. (English) Zbl 1242.74207
A new algorithm for non-Newtonian flow and its application in mould filling process. (English) Zbl 1426.76266
Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations. (English) Zbl 1228.76040
Steady-state solution of incompressible Navier-Stokes equations using discrete least-squares meshless method. (English) Zbl 1432.76079
A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type. (English) Zbl 1229.47133
Reviewer: Ruhollah Jahanipur (Kashan)
An efficient curvilinear non-hydrostatic model for simulating surface water waves. (English) Zbl 1316.76061
On the application of the minimum polynomial extrapolation method to incompressible flows with heat transfer. (English) Zbl 1301.76055
Flux schemes based finite volume method for internal transonic flow with condensation. (English) Zbl 1419.76457
Efficient second-order discretizations for semilinear parabolic problems. (English) Zbl 1317.65176
López de Silanes, María Cruz (ed.) et al., Tenth international conference Zaragoza-Pau on applied mathematics and statistics, Jaca, Spain, September 15–17, 2008. Zaragoza: Prensas Universitarias de Zaragoza (ISBN 978-84-15031-53-6/pbk). Monografías Matemáticas “García de Galdeano” 35, 229-236 (2010).
Numerical modeling of viscoelastic flows using equal low-order finite elements. (English) Zbl 1227.76033
The challenge of mass conservation in the solution of free-surface flows with the fractional-step method: problems and solutions. (English) Zbl 1274.76191
Nested Cartesian grid method in incompressible viscous fluid flow. (English) Zbl 1425.76065
MSC:
76D05
76M25
Comparison of monolithic and splitting solution schemes for dynamic porous media problems. (English) Zbl 1188.74065
Convergence of fractional step mimetic finite difference discretizations for semilinear parabolic problems. (English) Zbl 1197.65130
Reviewer: Ruxandra Stavre (Bucureşti)
Locally linearized fractional step methods for nonlinear parabolic problems. (English) Zbl 1189.65211
A dual reciprocity boundary element formulation using the fractional step method for the incompressible Navier-Stokes equations. (English) Zbl 1244.76035
Linearly implicit domain decomposition methods for nonlinear time-dependent reaction-diffusion problems. (English) Zbl 1183.65109
Bercovier, Michel (ed.) et al., Domain decomposition methods in science and engineering XVIII. Selected papers based on the presentations at the 18th international conference of domain decomposition methods, Jerusalem, Israel, January 12–17, 2008. Berlin: Springer (ISBN 978-3-642-02676-8/hbk; 978-3-642-04466-3/ebook). Lecture Notes in Computational Science and Engineering 70, 267-274 (2009).
The finite element analysis of a fractional-step method for the time-dependent linear elasticity equations. (English) Zbl 1167.74587
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