Found 1,142 Documents (Results 1–100)
Hybridized formulations of flux reconstruction schemes for advection-diffusion problems. (English) Zbl 07922800
A new class of efficient high order semi-Lagrangian IMEX discontinuous Galerkin methods on staggered unstructured meshes. (English) Zbl 07922783
Hyperbolic balance laws: interplay between scales and randomness. Abstracts from the workshop held February 25 – March 1, 2024. (English) Zbl 07921244
Local discontinuous Galerkin methods with multistep implicit-explicit time discretization for nonlinear Schrödinger equations. (English) Zbl 07915953
Uniform convergence of the LDG method for singularly perturbed problems. (English) Zbl 07915845
MSC:
03-08
An asynchronous discontinuous Galerkin method for massively parallel PDE solvers. (English) Zbl 07904377
A fast solvable operator-splitting scheme for time-dependent advection diffusion equation. (English) Zbl 07901872
A structure-preserving local discontinuous Galerkin method for the stochastic KdV equation. (English) Zbl 07901870
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems. I: The one-dimensional case. (English) Zbl 07900968
Error analysis of second-order local time integration methods for discontinuous Galerkin discretizations of linear wave equations. (English) Zbl 07899592
An adaptive mesh refinement method based on a characteristic-compression embedded shock wave indicator for high-speed flows. (English) Zbl 07899541
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system with Dougherty-Fokker-Planck collision operator. (English) Zbl 07898990
Numerical simulation of a time dependent lubrication problem arising in magnetic reading processes. (English) Zbl 07893913
Exploring the Atwood number impact on shock-driven hydrodynamic instability at pentagonal interface using discontinuous Galerkin simulations. (English) Zbl 07893205
Error estimates of the direct discontinuous Galerkin method for two-dimensional nonlinear convection-diffusion equations: superconvergence analysis. (English) Zbl 07890944
Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels. (English) Zbl 07884773
Iterative subregion correction preconditioners with adaptive tolerance for problems with geometrically localized stiffness. (English) Zbl 07883787
A high-order discontinuous Galerkin approach for physics-based thermospheric modeling. (English) Zbl 07878917
Fully higher-order coupling of finite element and level set methods for two-phase flow with a new explicit projection method. (English) Zbl 07875890
MSC:
76-XX
Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations. (English) Zbl 07872155
Efficient and parallel solution of high-order continuous time Galerkin for dissipative and wave propagation problems. (English) Zbl 07871674
A high-order diffused-interface approach for two-phase compressible flow simulations using a discontinuous Galerkin framework. (English) Zbl 07863612
A hybrid finite difference level set-implicit mesh discontinuous Galerkin method for multi-layer coating flows. (English) Zbl 07863596
Comparison of different discontinuous Galerkin methods based on various reformulations for gKdV equation: soliton dynamics and blowup. (English) Zbl 07853509
Supercloseness of the LDG method for a singularly perturbed convection-diffusion problem on Bakhvalov-type mesh. (English) Zbl 07850522
Stability and time-step constraints of implicit-explicit Runge-Kutta methods for the linearized Korteweg-de Vries equation. (English) Zbl 07846936
High-order decoupled and bound preserving local discontinuous Galerkin methods for a class of chemotaxis models. (English) Zbl 07846925
A hybridizable discontinuous Galerkin method for magnetic advection-diffusion problems. (English) Zbl 1540.65497
High-order bound-preserving local discontinuous Galerkin methods for incompressible and immiscible two-phase flows in porous media. (English) Zbl 1541.65098
An ultra-weak local discontinuous Galerkin method with generalized numerical fluxes for the KdV-Burgers-Kuramoto equation. (English) Zbl 1541.65103
Analysis and application of a local discontinuous Galerkin method for the electromagnetic concentrator model. (English) Zbl 07840127
MSC:
65Mxx
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations. (English) Zbl 1537.35418
High order conservative LDG-IMEX methods for the degenerate nonlinear non-equilibrium radiation diffusion problems. (English) Zbl 07833833
An efficient GPU-based \(h\)-adaptation framework via linear trees for the flux reconstruction method. (English) Zbl 07833822
Entropy-split multidimensional summation-by-parts discretization of the Euler and compressible Navier-Stokes equations. (English) Zbl 07833820
Quadrature-free forms of discontinuous Galerkin methods in solving compressible flows on triangular and tetrahedral grids. (English) Zbl 1540.76095
An explicit local space-time adaptive framework for monodomain models in cardiac electrophysiology. (English) Zbl 1539.65110
High order positivity-preserving nodal discontinuous Galerkin methods for anisotropic diffusion problems. (English) Zbl 07829100
An improved pointwise error estimate of the LDG method for 1-d singularly perturbed reaction-diffusion problem. (English) Zbl 07827754
L1/LDG algorithm for time-Caputo space-Riesz fractional convection equation in two dimensions. (English) Zbl 1536.65101
Discontinuous Galerkin method based on the reduced space for the nonlinear convection-diffusion-reaction equation. (English) Zbl 1534.65183
A new over-penalized weak Galerkin method. III: Convection-diffusion-reaction problems. (English) Zbl 1533.65237
A direct discontinuous Galerkin method for time fractional diffusion equations with fractional dynamic boundary conditions. (English) Zbl 07803026
MSC:
65M12
Analysis of the implicit-explicit ultra-weak discontinuous Galerkin method for convection-diffusion problems. (English) Zbl 07803020
Spatio-temporal scalar auxiliary variable approach for the nonlinear convection-diffusion equation with discontinuous Galerkin method. (English) Zbl 1531.65172
Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations. (English) Zbl 1531.65184
Local discontinuous Galerkin methods with decoupled implicit-explicit time marching for the growth-mediated autochemotactic pattern formation model. (English) Zbl 1538.65395
Development of an implicit high-order flux reconstruction solver for high-speed flows on simplex elements. (English) Zbl 07788830
The local discontinuous Galerkin method for the nonlinear quantum Zakharov system. (English) Zbl 1519.65042
Maximum-principle-preserving high-order discontinuous Galerkin methods for incompressible Euler equations on overlapping meshes. (English) Zbl 1528.76045
A nonuniform \(\mathrm{L}2-1_\sigma\)/LDG method for the Caputo-Hadamard time-fractional convection-diffusion equation. (English) Zbl 1539.65125
Local discontinuous Galerkin method for the Riesz space distributed-order Sobolev equation. (English) Zbl 1537.65130
Local discontinuous Galerkin method on graded meshes for a third-order singularly perturbed problem. (English) Zbl 1534.65115
Stability and error estimates of high order BDF-LDG discretizations for the Allen-Cahn equation. (English) Zbl 1535.65212
A posteriori error estimates for a local discontinuous Galerkin approximation of semilinear second-order elliptic problems on Cartesian grids. (English) Zbl 1538.65490
A posteriori error analysis for an ultra-weak discontinuous Galerkin approximations of nonlinear second-order two-point boundary-value problems. (English) Zbl 1538.65196
A discontinuous Galerkin method for the Camassa-Holm-Kadomtsev-Petviashvili type equations. (English) Zbl 1529.65093
An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations. (English) Zbl 1535.65208
An energy stable discontinuous Galerkin time-domain finite element method in optics and photonics. (English) Zbl 1531.65154
An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation. (English) Zbl 07771299
Schur complement IMplicit-EXplicit formulations for discontinuous Galerkin non-hydrostatic atmospheric models. (English) Zbl 07771278
Local discontinuous Galerkin method for a nonlocal viscous water wave model. (English) Zbl 1528.76024
\(L^2\) estimates for weak Galerkin finite element methods for second-order wave equations with polygonal meshes. (English) Zbl 1528.65075
Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems. (English) Zbl 1528.65085
Fully-discrete spatial eigenanalysis of discontinuous spectral element methods: insights into well-resolved and under-resolved vortical flows. (English) Zbl 07761069
MSC:
76-XX
A numerical method for analysis and simulation of diffusive viscous wave equations with variable coefficients on polygonal meshes. (English) Zbl 1529.65070
Reviewer: Murli Gupta (Washington, D.C.)
Stability analysis and error estimates of implicit Runge-Kutta local discontinuous Galerkin methods for linear bi-harmonic equation. (English) Zbl 1538.65343
Tent-pitcher spacetime discontinuous Galerkin method for one-dimensional linear hyperbolic and parabolic PDEs. (English) Zbl 1538.65363
Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems. (English) Zbl 1530.65160
Reviewer: Vit Dolejsi (Praha)
A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations. (English) Zbl 07748073
Application of the local discontinuous Galerkin method to the solution of the quasi-gas dynamic equation system. (Russian. English summary) Zbl 1523.76062
A hybridizable discontinuous Galerkin method for the fully coupled time-dependent Stokes/Darcy-transport problem. (English) Zbl 1522.65170
Length-scales for efficient CFL conditions in high-order methods with distorted meshes: application to local-timestepping for \(p\)-multigrid. (English) Zbl 1521.65093
A superconvergent ultra-weak discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems. (English) Zbl 1518.65076
Convergence analysis of weak Galerkin finite element method for semilinear parabolic convection dominated diffusion equations on polygonal meshes. (English) Zbl 1538.65365
Unified analysis of any order spectral volume methods for diffusion equations. (English) Zbl 1529.65031
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. (English) Zbl 1529.65088
A stable and convergent hybridized discontinuous Galerkin method for time-fractional telegraph equations. (English) Zbl 1522.65167
Local discontinuous Galerkin method for a third-order singularly perturbed problem of convection-diffusion type. (English) Zbl 1517.65120
Superconvergence of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems. (English) Zbl 07714948
The uniform convergence of a DG method for a singularly perturbed Volterra integro-differential equation. (English) Zbl 1515.65335
Analysis of an LDG-FEM for a two-dimensional singularly perturbed convection-reaction-diffusion problem with interior and boundary layers. (English) Zbl 07710408
A generalized framework for direct discontinuous Galerkin methods for nonlinear diffusion equations. (English) Zbl 1529.65061
Stability and error estimates of local discontinuous Galerkin methods with implicit-explicit backward difference formulas up to fifth order for convection-diffusion equation. (English) Zbl 1529.65089
High-order semi-implicit schemes for evolutionary partial differential equations with higher order derivatives. (English) Zbl 07708312
High-order local discontinuous Galerkin method with multi-resolution WENO limiter for Navier-Stokes equations on triangular meshes. (English) Zbl 1514.65132
The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers. (English) Zbl 1529.65119
Optical response of metallic nanostructures using quantum hydrodynamic theory and a hybridizable discontinuous Galerkin method. (English) Zbl 07705901
Error analysis of a novel discontinuous Galerkin method for the two-dimensional Poisson’s equation. (English) Zbl 07705794
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