Found 4,872 Documents (Results 1–100)
Two-grid finite element method for time-fractional nonlinear Schrödinger equation. (English) Zbl 07924449
A domain decomposition method employing displacement-only partitioned equations for quasi-static structural analysis. (English) Zbl 07917750
A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems. (English) Zbl 07917732
Solving optimal control problems governed by nonlinear PDEs using a multilevel method based on an artificial neural network. (English) Zbl 07910906
Numerical method of the exact control for the elastic string problem with moving boundary. (English) Zbl 07905300
Super-localized orthogonal decomposition for convection-dominated diffusion problems. (English) Zbl 07901580
Construction of a new time-space two-grid method and its solution for the generalized Burgers’ equation. (English) Zbl 07901126
The splitting characteristic finite difference domain decomposition scheme for solving time-fractional MIM nonlinear advection-diffusion equations. (English) Zbl 07900967
A multiscale finite element method for an elliptic distributed optimal control problem with rough coefficients and control constraints. (English) Zbl 07900965
Reviewer: Bülent Karasözen (Ankara)
Sparsifiable spectral equivalence of DtN mapping and its application to elliptic problems. (English) Zbl 07900326
A three-step subgrid stabilized Oseen iterative method for Navier-Stokes type variational inequality. (English) Zbl 07899900
The effect of approximate coarsest-level solves on the convergence of multigrid V-cycle methods. (English) Zbl 07899183
On the benefits of a multiscale domain decomposition method to model-order reduction for frictional contact problems. (English) Zbl 07897587
A modified fuzzy Adomian decomposition method for solving time-fuzzy fractional partial differential equations with initial and boundary conditions. (English) Zbl 07897008
Mathematically improved convergence analysis for the non-overlapping domain decomposition method. (English) Zbl 07892939
A global space-time Trefftz DG scheme for the time-dependent isotropic elastic wave equations. (English) Zbl 1542.65170
A two-grid characteristic block-centered finite difference method for Darcy-Forchheimer slightly compressible miscible displacement problem. (English) Zbl 07885866
PINN enhanced extended multiscale finite element method for fast mechanical analysis of heterogeneous materials. (English) Zbl 07884736
A two-level finite element method with grad-div stabilizations for the incompressible Navier-Stokes equations. (English) Zbl 1542.65164
Non-iterative domain decomposition method for the convection-diffusion equations with Neumann boundary conditions. (English) Zbl 1541.65084
Robust PRESB preconditioning of a 3-dimensional space-time finite element method for parabolic problems. (English) Zbl 1541.65096
A highly parallel algorithm for simulating the elastodynamics of a patient-specific human heart with four chambers using a heterogeneous hyperelastic model. (English) Zbl 07863641
On favorable bounds on the spectrum of discretized Steklov-Poincaré operator and applications to domain decomposition methods in 2D. (English) Zbl 07863380
An interface formulation for the Poisson equation in the presence of a semiconducting single-layer material. (English) Zbl 1540.35126
Strategies with algebraic multigrid method for coupled systems. (English) Zbl 07853987
Reviewer: Kanakadurga Sivakumar (Chennai)
One- and two-level Arrow-Hurwicz-type iterative algorithms for the stationary Smagorinsky model. (English) Zbl 07853266
An efficient parallel solution scheme for the phase field approach to dynamic fracture based on a domain decomposition method. (English) Zbl 07845179
A comparison of algebraic multigrid bidomain solvers on hybrid CPU-GPU architectures. (English) Zbl 1539.65112
A two-level block preconditioned Jacobi-Davidson method for multiple and clustered eigenvalues of elliptic operators. (English) Zbl 1542.65149
An efficient second-order algorithm upon MAC scheme for nonlinear incompressible Darcy-Brinkman-Forchheimer model. (English) Zbl 1542.65136
A compression scheme for domain decomposition method in solving electromagnetic problems. (English) Zbl 07833826
A multigrid coupling approach of the extended isogeometric-meshfree method and peridynamics for brittle fracture. (English) Zbl 1535.74662
Convergence analysis of Schwarz waveform relaxation method to compute coupled advection-diffusion-reaction equations. (English) Zbl 1540.65363
hp-robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs. (English) Zbl 1536.65145
Reviewer: Bülent Karasözen (Ankara)
Local and parallel multigrid method for semilinear Neumann problem with nonlinear boundary condition. (English) Zbl 07829535
Two-grid dimension reduction method of Crank-Nicolson mixed finite element solution coefficient vectors for the fourth-order extended Fisher-Kolmogorov equation. (English) Zbl 1535.65201
An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition. (English) Zbl 1536.65158
A reduced order model for domain decompositions with non-conforming interfaces. (English) Zbl 1534.65263
Exponential convergence of a generalized FEM for heterogeneous reaction-diffusion equations. (English) Zbl 1532.65113
Linear energy-stable method with correction technique for the Ohta-Kawasaki-Navier-Stokes model of incompressible diblock copolymer melt. (English) Zbl 1534.65148
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Uniform superconvergence analysis of a two-grid mixed finite element method for the time-dependent bi-wave problem modeling \(D\)-wave superconductors. (English) Zbl 1542.65118
Reviewer: Abdallah Bradji (Annaba)
An adaptive two-grid solver for DPG formulation of compressible Navier-Stokes equations in 3D. (English) Zbl 1534.65244
Two-grid parallel stabilized finite element method based on overlapping domain decomposition for the Stokes problem. (English) Zbl 07801614
BDDC preconditioners for virtual element approximations of the three-dimensional Stokes equations. (English) Zbl 1533.65244
Reviewer: Steven B. Damelin (Ann Arbor)
AI-enhanced iterative solvers for accelerating the solution of large-scale parametrized systems. (English) Zbl 1532.65122
An efficient red-black skewed extrapolation cascadic multigrid method for two-dimensional Poisson equation. (English) Zbl 1538.65588
Dual-grid mapping method for the advection-diffusion-reaction equation in a heterogeneous medium. (English) Zbl 1538.65304
An \(\varepsilon \)-uniformly convergent method for singularly perturbed parabolic problems exhibiting boundary layers. (English) Zbl 07920413
Domain decomposition for non-smooth (in particular TV) minimization. (English) Zbl 07914344
Chen, Ke (ed.) et al., Handbook of mathematical models and algorithms in computer vision and imaging. Mathematical imaging and vision. Springer Reference. Cham: Springer. 379-425 (2023).
An adaptive model reduction method leveraging locally supported basis functions. (English) Zbl 1541.65151
On numerical solving of junction problem for the thin rigid and elastic inclusions in elastic body. (English) Zbl 07853800
Reduced-order models for array structures mounted on platforms with parameters variations. (English) Zbl 1537.78009
Meshless generalized finite difference method with a domain-selection method for solving degenerate boundary problems. (English) Zbl 1539.65089
Adaptive geometric multigrid for the mixed finite cell formulation of Stokes and Navier-Stokes equations. (English) Zbl 07847171
Singular limiting radial solutions for 4-dimensional elliptic problem involving exponentially dominated nonlinearity. (English) Zbl 07831131
Error estimate of the non-intrusive reduced basis (NIRB) two-grid method with parabolic equations. (English) Zbl 07829163
An efficient Cartesian grid-based method for scattering problems with inhomogeneous media. (English) Zbl 07814767
Mixed finite element methods for the ferrofluid model with magnetization paralleled to the magnetic field. (English) Zbl 07814765
A time adaptive multirate Dirichlet-Neumann waveform relaxation method for heterogeneous coupled heat equations. (English) Zbl 1532.65055
A closed-form multigrid smoothing factor for an additive Vanka-type smoother applied to the Poisson equation. (English) Zbl 07790625
Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases. (English) Zbl 1536.65140
Iterative pure source transfer domain decomposition methods for Helmholtz equations in heterogeneous media. (English) Zbl 1538.65585
High order deep domain decomposition method for solving high frequency interface problems. (English) Zbl 07787035
Two-grid algorithm for two-dimensional linear Schrödinger equation by the mixed finite element method. (English) Zbl 1530.65125
Iterative two-grid methods for discontinuous Galerkin finite element approximations of semilinear elliptic problem. (English) Zbl 1530.65174
Trefftz approximation space for Poisson equation in perforated domains. (English) Zbl 1529.65111
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 195-203 (2023).
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Two-grid weak Galerkin method for semilinear elliptic differential equations. (English) Zbl 1538.65503
Convergence analysis of the fractional decomposition method with applications to time-fractional biological population models. (English) Zbl 1531.65151
Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization. (English) Zbl 1533.65046
Reviewer: Steven B. Damelin (Ann Arbor)
Analysis and numerical computation of a fractional order mathematical model of testosterone secretion in humans. (English) Zbl 1530.92032
Interface flux recovery framework for constructing partitioned heterogeneous time-integration methods. (English) Zbl 1535.65177
\(L^p\) error estimate of nonlinear Schrödinger equation using a two-grid finite element method. (English) Zbl 1535.65193
A non-overlapping domain decomposition dual reciprocity method for solving the forward-backward heat equation in two-dimension. (English) Zbl 07776977
Simulation of the interaction of light with 3-D metallic nanostructures using a proper orthogonal decomposition-Galerkin reduced-order discontinuous Galerkin time-domain method. (English) Zbl 07776946
Smoothing analysis of two-color distributive relaxation for solving 2D Stokes flow by multigrid method. (English) Zbl 1531.65274
Modified space-time radial basis function collocation method for long-time simulation of transient heat conduction in 3D anisotropic composite materials. (English) Zbl 1530.74079
Multiscale modeling of linear elastic heterogeneous structures via localized model order reduction. (English) Zbl 07772324
A matrix-free macro-element variant of the hybridized discontinuous Galerkin method. (English) Zbl 07772318
Transformations for Piola-mapped elements. (English) Zbl 1528.65099
Reviewer: Bülent Karasözen (Ankara)
A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes. (English) Zbl 1538.65359
Blow up solutions for 4-dimensional elliptic problems involving exponentially dominated nonlinearities. (English) Zbl 1525.35102
Universal AMG accelerated embedded boundary method without small cell stiffness. (English) Zbl 1534.65145
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
A 2D frequency domain finite element formulation for solving the wave equation in the presence of rotating obstacles. (English) Zbl 1524.76371
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