## Found 289 Documents (Results 1–100)

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### Positivity-preserving entropy-based adaptive filtering for discontinuous spectral element methods. (English)Zbl 07578908

MSC:  35Lxx 76Mxx 65Mxx
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### Discontinuous Galerkin method for macroscopic traffic flow models on networks. (English)Zbl 07570483

MSC:  65M60 76A30 35L04
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### A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property. (English)Zbl 07568979

MSC:  65M70 65M12 65M60
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### A well-balanced discontinuous Galerkin method for the shallow water flows on erodible bottom. (English)Zbl 07566237

MSC:  76-XX 65-XX
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### $$\mathrm{L}^2$$ error estimate to smooth solutions of high order Runge-Kutta discontinuous Galerkin method for scalar nonlinear conservation laws with and without sonic points. (English)Zbl 07565244

MSC:  65M12 65M15
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### High-order Godunov-type scheme for conservation laws with discontinuous flux function in space. (English)Zbl 07539546

MSC:  65-XX 76-XX
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### Provably stable flux reconstruction high-order methods on curvilinear elements. (English)Zbl 07536761

MSC:  65Mxx 76Mxx 35Lxx
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### Nonlinearly stable flux reconstruction high-order methods in split form. (English)Zbl 07527721

MSC:  65Mxx 35Lxx 76Mxx
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### A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. (English)Zbl 07524769

MSC:  76Mxx 76Dxx 65Mxx
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MSC:  65-XX
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MSC:  65-XX
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### Performance and accuracy of hybridized flux reconstruction schemes. (English)Zbl 07523804

MSC:  65Mxx 65Nxx 76Mxx
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### Oscillation-free nodal discontinuous spectral element method for the simulation of compressible multicomponent flows. (English)Zbl 07517747

MSC:  76Mxx 65Mxx 76Nxx
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### Sequential implicit vertex approximate gradient discretization of incompressible two-phase Darcy flows with discontinuous capillary pressure. (English)Zbl 1484.76072

MSC:  76S05 86A05
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### Superconvergence analysis of the Runge-Kutta discontinuous Galerkin method with upwind-biased numerical flux for two-dimensional linear hyperbolic equation. (English)Zbl 07508617

MSC:  65M12 65M15 65M60
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### Stability issues of entropy-stable and/or split-form high-order schemes. Analysis of linear stability. (English)Zbl 07477386

MSC:  65Mxx 76Mxx 35Lxx
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### A stable discontinuous Galerkin method for linear elastodynamics in 3D geometrically complex elastic solids using physics based numerical fluxes. (English)Zbl 07464512

MSC:  74-XX 65-XX
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### Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for linear hyperbolic equations with even degree polynomial approximations. (English)Zbl 07533065

MSC:  65M60 65M15
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### A flux reconstruction kinetic scheme for the Boltzmann equation. (English)Zbl 07516438

MSC:  65Mxx 76Mxx 76Pxx
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### Flux reconstruction using Jacobi correction functions in discontinuous spectral element method. (English)Zbl 07503733

MSC:  65Mxx 76Mxx 35Lxx
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### A new norm and stability condition for tensor product flux reconstruction schemes. (English)Zbl 07500757

MSC:  65Mxx 35Lxx 76Mxx
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### Shadow wave solutions for a scalar two-flux conservation law with Rankine-Hugoniot deficit. (English)Zbl 1481.35273

MSC:  35L65 35L67
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### Construction of fluxes at junctions for the numerical solution of traffic flow models on networks. (English)Zbl 1488.65461

Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21–26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 149-158 (2021).
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### Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems. (English)Zbl 1483.65124

MSC:  65L11 65L20 65L60
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### A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: application to the hybridizable discontinuous Galerkin method. (English)Zbl 07427329

MSC:  65-XX 76-XX
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### Accuracy, stability, and performance comparison between the spectral difference and flux reconstruction schemes. (English)Zbl 07426215

MSC:  46E39 65M70 76N15
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### Sparse invariant domain preserving discontinuous Galerkin methods with subcell convex limiting. (English)Zbl 07415030

MSC:  65-XX 76-XX
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### Hybrid numerical flux for solving the problems of supersonic flow of solid bodies. (Russian. English summary)Zbl 1466.76037

MSC:  76M99 76J20 76L05
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### A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws. (English)Zbl 07337822

MSC:  65-XX 35-XX
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### A well-balanced ADER discontinuous Galerkin method based on differential transformation procedure for shallow water equations. (English)Zbl 1465.76063

MSC:  76M12 76B99
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### Consistency of finite volume approximations to nonlinear hyperbolic balance laws. (English)Zbl 1452.65184

MSC:  65M08 65M12 35L65
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### High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics. (English)Zbl 07508357

MSC:  76-XX 65-XX
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### A splitting algorithm for LWR traffic models with flux discontinuous in the unknown. (English)Zbl 07508351

MSC:  65-XX 35-XX
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### An energy-based discontinuous Galerkin method for semilinear wave equations. (English)Zbl 07506172

MSC:  65-XX 35-XX
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### A reconstructed discontinuous Galerkin method for incompressible flows on arbitrary grids. (English)Zbl 07506160

MSC:  76-XX 35-XX
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### An approximate Riemann solver for advection-diffusion based on the generalized Riemann problem. (English)Zbl 1476.65207

MSC:  65M08 76N17
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### Hybrid coupling of CG and HDG discretizations based on Nitsche’s method. (English)Zbl 1490.74107

MSC:  74S05 74F05 74B05
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### A local discontinuous Petrov-Galerkin method for the generalized Burgers-Huxley equation and Burgers-Fisher equation. (English)Zbl 1474.65376

MSC:  65M60 65M12 35Q53

### Attainable profiles for conservation laws with flux function spatially discontinuous at a single point. (English)Zbl 1458.35263

MSC:  35L65 35F25 93B05
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### An implicit dual-time stepping high-order nodal discontinuous Galerkin method for solving incompressible flows on triangle elements. (English)Zbl 07317958

MSC:  76Dxx 65Lxx
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### Conservation laws with regulated fluxes. (English)Zbl 1459.35283

Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 328-335 (2020).
MSC:  35L65 35R05 35F21

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### Hyperbolic conservation laws with stochastic discontinuous flux functions. (English)Zbl 1462.65123

Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 265-273 (2020).
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### Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic. (English)Zbl 07238034

Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 113-135 (2020).
MSC:  35L65 90B20 35A35
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### Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form. (English)Zbl 1437.65119

MSC:  65M08 65M60 35L65
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### Scalar conservation laws with charatheodory flux revisited. (English)Zbl 1443.35096

MSC:  35L65 35L03
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### Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn-Hilliard equation. (English)Zbl 1441.76059

MSC:  76M10 65M60
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### A new modified local Lax-Friedrichs scheme for scalar conservation laws with discontinuous flux. (English)Zbl 1436.65111

MSC:  65M06 35Q35
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### A simplified artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier-Stokes equations. (English)Zbl 1473.65220

MSC:  65M60 65M99 35L65
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### On accuracy of the mass-preserving DG method to multi-dimensional Schrödinger equations. (English)Zbl 1461.65241

MSC:  65M60 65M15 65M12
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### Globally constraint-preserving FR/DG scheme for Maxwell’s equations at all orders. (English)Zbl 1452.78029

MSC:  78M10 65M60 65Z05
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### A posteriori correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction. (English)Zbl 1452.65251

MSC:  65M60 76M10 65M08
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### A direct discontinuous Galerkin method for the incompressible Navier-Stokes equations on arbitrary grids. (English)Zbl 1451.76074

MSC:  76M10 65M60 76D05
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### A low-dissipation DG method for the under-resolved simulation of low Mach number turbulent flows. (English)Zbl 1442.65270

MSC:  65M60 76D05 76M10
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### A model for a network of conveyor belts with discontinuous speed and capacity. (English)Zbl 1423.90077

MSC:  90B30 35L65 65M25
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### The error analysis of a direct discontinuous Galerkin method. (Chinese. English summary)Zbl 1438.65232

MSC:  65M60 65M15 65L06

### A parallel direct cut algorithm for high-order overset methods with application to a spinning golf ball. (English)Zbl 1416.76103

MSC:  76M10 65M60 65Y05
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MSC:  76M25
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### Flux-limited and classical viscosity solutions for regional control problems. (English)Zbl 1414.49032

MSC:  49L20 49L25 35F21
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### Vanishing viscosity solutions of Riemann problems for models of polymer flooding. (English)Zbl 1402.35169

Gesztesy, Fritz (ed.) et al., Non-linear partial differential equations, mathematical physics, and stochastic analysis. The Helge Holden anniversary volume on the occasion of his 60th birthday. Based on the presentations at the conference ‘Non-linear PDEs, mathematical physics and stochastic analysis’, NTNU, Trondheim, Norway, July 4–7, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-186-6/hbk; 978-3-03719-686-1/ebook). EMS Series of Congress Reports, 261-285 (2018).
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### Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs. (English)Zbl 1390.65104

MSC:  65M60 35L65 65M20 65M22 35Q53 35Q55 37K05
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### An analysis of stability of the flux reconstruction formulation on quadrilateral elements for the linear advection-diffusion equation. (English)Zbl 1395.65088

MSC:  65M60 65M12 35K57
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### A point-value enhanced finite volume method based on approximate delta functions. (English)Zbl 1380.65292

MSC:  65M60 65M08
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### The Roe-type interface flux for conservation laws with discontinuous flux function. (English)Zbl 1377.65112

MSC:  65M06 35L65
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### On the behaviour of fully-discrete flux reconstruction schemes. (English)Zbl 1439.65121

MSC:  65M60 65L06
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