Search Results - boundary element methods for initial value AND initial-boundary value problems involving pres*

Finite element scheme for the fractional porous medium equation with fractional pressure by Carrillo, José A., Fronzoni, Stefano, Süli, Endre

“… 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 by Banks, J.W., Hagstrom, T., Jacangelo, J.

“…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 by Li, Chuan, Ren, Yiming, Long, Guangqing, Boerman, Eric, Zhao, Shan

“…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 by Sevilla, Ruben, Giacomini, Matteo, Huerta, Antonio

“…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 by Grün, Günther, Rumpf, Martin

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A locking-free face-centred finite volume (FCFV) method for linear elastostatics by Sevilla, Ruben, Giacomini, Matteo, Huerta, Antonio

“…) 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 by Carrillo, José A., Fronzoni, Stefano, Süli, Endre

“… 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 by Yang, Ye, Chirputkar, Shardool, Alpert, David N., Eason, Thomas, Spottswood, Stephen, Qian, Dong

“…–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 by HEINKENSCHLOSS, MATTHIAS, LEYKEKHMAN, DMITRIY

“…) 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 by Fernández, J. R., Masid, M., Magaña, A., Quintanilla, R.

“…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 by Gallimard, L., Vidal, P., Polit, O.

“… 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 by Lin, Qun, Wu, Yong Hong, Loxton, Ryan, Lai, Shaoyong

“… 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 by Baines, M.J., Hubbard, M.E., Jimack, P.K.

“…” 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 by Moro, D., Nguyen, N. C., Peraire, J.

“…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 by Menéndez, C., Nieto, P.J.G., Ortega, F.A., Bello, A.

“… 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 by Bendali, Abderrahmane, Boubendir, Yassine

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A quasistatic contact problem with normal compliance and damage involving viscoelastic materials with long memory by Campo, M., Fernández, J.R., Rodríguez-Arós, Á.

“… 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 by Wolff, Sebastian, Bucher, Christian

“…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 by Yan, Jue, Shu, Chi-Wang

“… 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 by Antonopoulos, Dimitrios, Mitsotakis, Dimitrios

“… 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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