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

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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On the implementation of 3D Galerkin boundary integral equations by Nintcheu Fata, S., Gray, L.J.

“… of mixed boundary-value problems on non-smooth surfaces. The proposed preconditioner, which originates from the precorrected-FFT method, is sparse, easy to generate…”
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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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Meshless local Petrov–Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation by Mirzaei, Davoud, Dehghan, Mehdi

“…During the past few years, the idea of using meshless methods for numerical solution of partial differential equations (PDEs…”
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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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Study of the two‐dimensional sine‐Gordon equation arising in Josephson junctions using meshless finite point method by Kamranian, Maryam, Dehghan, Mehdi, Tatari, Mehdi

“…In this paper, the finite point method is discussed for solving the initial‐boundary value problem associated with the sine…”
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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 physics-inspired neural network to solve partial differential equations - application in diffusion-induced stress by Xue, Yuan, Li, Yong, Zhang, Kai, Yang, Fuqian

“… Due to the complexity and nonlinear characteristics of the initial-boundary value problems, numerical methods, such as finite difference, finite element, spectral analysis, and so forth, have been used…”
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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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