Výsledky vyhledávání - boundary element methods for initial value AND initial-boundary value problems involving pres*
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Finite element scheme for the fractional porous medium equation with fractional pressure
ISSN: 0029-599X, 0945-3245Vydáno: Heidelberg Springer Nature B.V 01.10.2025Vydáno v Numerische Mathematik (01.10.2025)“… by the proposed numerical method converges to a bounded and nonnegative weak solution of the initial-boundary-value problem under consideration…”
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Galerkin Differences for acoustic and elastic wave equations in two space dimensions
ISSN: 0021-9991, 1090-2716Vydáno: Cambridge Elsevier Inc 01.11.2018Vydáno v Journal of computational physics (01.11.2018)“…The Galerkin Difference method, a finite element method built using standard Galerkin projection techniques but employing nonstandard basis functions, was originally developed for one space dimension in [1…”
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A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains
ISSN: 0885-7474, 1573-7691Vydáno: New York Springer US 01.05.2023Vydáno v Journal of scientific computing (01.05.2023)“…In this paper, a new Cartesian grid finite difference scheme is introduced for solving parabolic initial-boundary value problems involving irregular domains and Robin boundary condition in two and three dimensions…”
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A face‐centred finite volume method for second‐order elliptic problems
ISSN: 0029-5981, 1097-0207Vydáno: Bognor Regis Wiley Subscription Services, Inc 24.08.2018Vydáno v International journal for numerical methods in engineering (24.08.2018)“…Summary This work proposes a novel finite volume paradigm, ie, the face‐centred finite volume (FCFV) method…”
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Nonnegativity preserving convergent schemes for the thin film equation
ISSN: 0029-599X, 0945-3245Vydáno: Heidelberg Springer 01.11.2000Vydáno v Numerische Mathematik (01.11.2000)Získat plný text
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A locking-free face-centred finite volume (FCFV) method for linear elastostatics
ISSN: 0045-7949, 1879-2243Vydáno: New York Elsevier Ltd 01.02.2019Vydáno v Computers & structures (01.02.2019)“…) method is proposed for linear elastostatic problems. The FCFV is a mixed hybrid formulation, featuring a system of first-order equations, that defines the unknowns on the faces…”
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Finite element scheme for the fractional porous medium equation with fractional pressure: Finite Element Scheme for the Fractional Porous Medium
ISSN: 0029-599X, 0945-3245Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2025Vydáno v Numerische Mathematik (01.10.2025)“… by the proposed numerical method converges to a bounded and nonnegative weak solution of the initial-boundary-value problem under consideration…”
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Enriched space-time finite element method: a new paradigm for multiscaling from elastodynamics to molecular dynamics
ISSN: 0029-5981, 1097-0207Vydáno: Chichester, UK John Wiley & Sons, Ltd 12.10.2012Vydáno v International journal for numerical methods in engineering (12.10.2012)“…–time FEM method to incorporate multiple temporal scale features with a focus on dynamics problems…”
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LOCAL ERROR ESTIMATES FOR SUPG SOLUTIONS OF ADVECTION-DOMINATED ELLIPTIC LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS
ISSN: 0036-1429, 1095-7170Vydáno: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2010Vydáno v SIAM journal on numerical analysis (01.01.2010)“…) using the streamline upwind/Petrov Galerkin (SUPG) stabilized finite element method. We show that if the SUPG method is used to solve optimization problems governed…”
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A problem with viscoelastic mixtures: numerical analysis and computational experiments
ISSN: 0003-6811, 1563-504XVydáno: Abingdon Taylor & Francis 10.09.2021Vydáno v Applicable analysis (10.09.2021)“…In this paper, we study, from the numerical point of view, a dynamic problem involving a mixture of two viscoelastic solids…”
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Coupling finite element and reliability analysis through proper generalized decomposition model reduction
ISSN: 0029-5981, 1097-0207Vydáno: Chichester Blackwell Publishing Ltd 28.09.2013Vydáno v International journal for numerical methods in engineering (28.09.2013)“… with reliability analysis algorithms allows to compute the failure probability of the system. However, this coupling leads to successive finite element analysis of parametric models involving high computational effort…”
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Linear B-spline finite element method for the improved Boussinesq equation
ISSN: 0377-0427, 1879-1778Vydáno: Kidlington Elsevier B.V 15.02.2009Vydáno v Journal of computational and applied mathematics (15.02.2009)“… Consequently, for the first time, the initial boundary value problem can be reduced to an explicit initial value problem to which many accurate numerical methods are readily applicable…”
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A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries
ISSN: 0168-9274, 1873-5460Vydáno: Amsterdam Elsevier B.V 01.08.2005Vydáno v Applied numerical mathematics (01.08.2005)“…” that is present in the projected initial data. The accuracy of the algorithm is carefully assessed through quantitative comparison with known similarity solutions, and its robustness is tested on more general problems…”
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A hybridized discontinuous Petrov-Galerkin scheme for scalar conservation laws
ISSN: 0029-5981, 1097-0207Vydáno: Chichester, UK John Wiley & Sons, Ltd 31.08.2012Vydáno v International journal for numerical methods in engineering (31.08.2012)“…SUMMARY We present a hybridized discontinuous Petrov–Galerkin (HDPG) method for the numerical solution of steady and time…”
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Non-linear analysis of the consolidation of an elastic saturated soil with incompressible fluid and variable permeability by FEM
ISSN: 0096-3003, 1873-5649Vydáno: Amsterdam Elsevier Inc 15.03.2010Vydáno v Applied mathematics and computation (15.03.2010)“… Firstly, we prove the existence and uniqueness of the solution of the variational problem corresponding to an initial and boundary value problem (IBVP…”
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Non-overlapping Domain Decomposition Method for a Nodal Finite Element Method
ISSN: 0029-599X, 0945-3245Vydáno: Heidelberg Springer 01.06.2006Vydáno v Numerische Mathematik (01.06.2006)Získat plný text
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A quasistatic contact problem with normal compliance and damage involving viscoelastic materials with long memory
ISSN: 0168-9274, 1873-5460Vydáno: Amsterdam Elsevier B.V 01.09.2008Vydáno v Applied numerical mathematics (01.09.2008)“… We derive a variational formulation for the problem and prove the existence of its unique weak solution…”
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Asynchronous collision integrators: Explicit treatment of unilateral contact with friction and nodal restraints
ISSN: 0029-5981, 1097-0207, 1069-8299Vydáno: Chichester Blackwell Publishing Ltd 17.08.2013Vydáno v International Journal for Numerical Methods in Engineering (17.08.2013)“…SUMMARYThis article presents asynchronous collision integrators and a simple asynchronous method treating nodal restraints…”
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Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives
ISSN: 0885-7474, 1573-7691Vydáno: London Plenum Publishing 01.12.2002Vydáno v Journal of scientific computing (01.12.2002)“… For these new methods we present correct interface numerical fluxes and prove L2 stability for general nonlinear problems…”
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Bona–Smith-Type systems in Bounded Domains with Slip-Wall Boundary Conditions: Theoretical Justification and a Conservative Numerical Scheme
ISSN: 0885-7474, 1573-7691Vydáno: New York Springer US 01.01.2025Vydáno v Journal of scientific computing (01.01.2025)“… We prove that, given appropriate initial conditions, the corresponding initial-boundary value problems have unique solutions locally in time, which is a fundamental property of deterministic mathematical modeling…”
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