Search Results - finite volume methods for initial value AND initial-boundary value problems

Review of summation-by-parts schemes for initial–boundary-value problems by Svard, Magnus, Nordstrom, Jan

“…High-order finite difference methods are efficient, easy to program, scale well in multiple dimensions and can be modified locally for various reasons…”
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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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A dynamic homogenization method for elastic wave band gap and initial-boundary value problem analysis of piezoelectric composites with elastic and viscoelastic periodic layers by Gao, Mengyuan, He, Zhelong, Liu, Jie, Lü, Chaofeng, Wang, Guannan

“… The model is developed using a multiscale homogenization method based on an asymptotic expansion of displacement and electric potential up to the 8th order…”
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A locking-free face-centred finite volume (FCFV) method for linear elastostatics by Sevilla, Ruben, Giacomini, Matteo, Huerta, Antonio

“…•A new finite volume paradigm is proposed for linear elastic problems.•Optimal convergence for displacement and stress is obtained without reconstruction…”
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A Priori Estimates for the Solution of an Initial Boundary Value Problem of Fluid Flow through Fractured Porous Media by Alimbekova, Nurlana, Berdyshev, Abdumauvlen, Baigereyev, Dossan

“… the world’s oil reserves are in these types of reservoirs. The uniqueness of the solution to the problem in a differential form and its dependence on the initial data and the right-hand side of the equation is proved…”
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An upwind cell centred Total Lagrangian finite volume algorithm for nearly incompressible explicit fast solid dynamic applications by Haider, Jibran, Lee, Chun Hean, Gil, Antonio J., Huerta, Antonio, Bonet, Javier

“…The paper presents a new computational framework for the numerical simulation of fast large strain solid dynamics, with particular emphasis on the treatment of…”
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Immersed smoothed finite element method for two dimensional fluid-structure interaction problems by Zhang, Zhi-Qian, Liu, G. R., Khoo, Boo Cheong

“…SUMMARY A novel method called immersed smoothed FEM using three‐node triangular element is proposed for two‐dimensional fluid…”
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On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation by Dehghan, Mehdi

“… Many physical phenomena are modeled by nonclassical hyperbolic boundary value problems with nonlocal boundary conditions…”
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General boundary conditions for a Boussinesq model with varying bathymetry by Lannes, David, Rigal, Mathieu

“…This paper is devoted to the theoretical and numerical investigation of the initial boundary value problem for a system of equations…”
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A simple finite volume method for the shallow water equations by Benkhaldoun, Fayssal, Seaïd, Mohammed

“… The proposed finite volume method is well balanced, conservative, non-oscillatory and suitable for shallow water equations for which Riemann problems are difficult to solve…”
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An assessment of discretizations for convection-dominated convection–diffusion equations by Augustin, Matthias, Caiazzo, Alfonso, Fiebach, André, Fuhrmann, Jürgen, John, Volker, Linke, Alexander, Umla, Rudolf

“…► Stabilized finite volume and finite element methods are compared. ► The assessment is based on spurious oscillations, smearing of layers, and efficiency…”
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Conservative interpolation between volume meshes by local Galerkin projection by Farrell, P.E., Maddison, J.R.

“…The problem of interpolating between discrete fields arises frequently in computational physics…”
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A second order convergent difference scheme for the initial-boundary value problem of Rosenau-Burgers equation by Dong, Sitong, Zhang, Xin, Jin, Yuanfeng

“…We construct a two-level implicit nonlinear finite difference scheme for the initial boundary value problem of Rosenau-Burgers equation based on the method of order reduction…”
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A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows by Audusse, Emmanuel, Bouchut, François, Bristeau, Marie-Odile, Klein, Rupert, Perthame, Benoı⁁t

“… when completed with friction. Numerical approximate solutions to this system may be generated using conservative finite volume methods, which are known to properly handle shocks and contact discontinuities…”
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ON WELL-POSED BOUNDARY CONDITIONS AND ENERGY STABLE FINITE-VOLUME METHOD FOR THE LINEAR SHALLOW WATER WAVE EQUATION by PRIHANDOKO, RUDI, DURU, KENNETH, ROBERTS, STEPHEN, ZOPPOU, CHRISTOPHER

“… The analysis is based on the energy method and it identifies the number, location and form of the boundary conditions so that the initial boundary value problem is well-posed…”
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ADER finite volume schemes for nonlinear reaction–diffusion equations by Toro, Eleuterio F., Hidalgo, Arturo

“…We construct finite volume schemes of arbitrary order of accuracy in space and time for solving nonlinear reaction…”
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Finite volume methods, unstructured meshes and strict stability for hyperbolic problems by Nordström, Jan, Forsberg, Karl, Adamsson, Carl, Eliasson, Peter

“…The unstructured node centered finite volume method is analyzed and it is shown that it can be interpreted in the framework of summation by parts operators…”
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A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters by Qiu, Jianxian, Shu, Chi-Wang

“… (weighted essentially nonoscillatory) methodology as limiters for the RKDG (Runge--Kutta discontinuous Galerkin) methods…”
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Cracking and damage from crystallization in pores: Coupled chemo-hydro-mechanics and phase-field modeling by Choo, Jinhyun, Sun, WaiChing

“…Cracking and damage from crystallization of minerals in pores center on a wide range of problems, from weathering and deterioration of structures to storage of CO2 via in situ carbonation…”
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A finite volume method on general surfaces and its error estimates by Ju, Lili, Du, Qiang

“…In this paper, we study a finite volume method and its error estimates for the numerical solution of some model second order elliptic partial differential equations defined on a smooth surface…”
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