Found 562 Documents (Results 1–100)
Highly efficient iterative method for multiple scattering with high order local ABC. (English) Zbl 07904379
Dynamic processes calculation in composites considering internal structure using the grid-characteristic method. (English) Zbl 07853993
Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes. (English) Zbl 07797669
A novel isogeometric scaled boundary finite element method for bending and free vibration analyses of laminated plates with rectilinear and curvilinear fibers constrained or free from elastic foundations. (English) Zbl 1537.74257
To the calculation of flows of gas-liquid mixtures by a modified nodal characteristics. (Russian. English summary) Zbl 1531.76088
Electromagnetic wave scattering from curvilinear screens: Galerkin method convergence proof. (English) Zbl 1531.65252
The Darboux problem with nonlocal boundary conditions for a hyperbolic system of first order equations. (English) Zbl 1531.35170
Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. (English) Zbl 1538.65511
Simulation of flexural-gravity wave propagation for elastic plates in shallow water using an energy-stable finite difference method with weakly enforced boundary and interface conditions. (English) Zbl 07748056
On the application of gradient based reconstruction for flow simulations on generalized curvilinear and dynamic mesh domains. (English) Zbl 1521.76011
A new perspective of higher order compact nonuniform Padé approximation based finite difference scheme for solving incompressible flows directly on polar grids. (English) Zbl 1521.76534
Modification of the grid-characteristic method on Chimera meshes for 3D problems of railway non-destructive testing. (English) Zbl 07688820
High order finite difference WENO methods for shallow water equations on curvilinear meshes. (English) Zbl 1524.65373
Conservative high-order data transfer method on generalized polygonal meshes. (English) Zbl 07640571
2D Fourier finite element formulation for magnetostatics in curvilinear coordinates with a symmetry direction. (English) Zbl 1520.78048
Joint modeling of wave phenomena by applying the grid-characteristic method and the discontinuous Galerkin method. (English. Russian original) Zbl 1504.65201
Dokl. Math. 106, No. 2, 356-360 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 62-67 (2022).
Accurate high-order tensor-product generalized summation-by-parts discretizations of hyperbolic conservation laws: general curved domains and functional superconvergence. (English) Zbl 1497.65232
Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain. (English) Zbl 1507.65170
High-order curvilinear finite element magneto-hydrodynamics. I: A conservative Lagrangian scheme. (English) Zbl 07540343
A well-balanced weighted compact nonlinear scheme for shallow water equations on curvilinear grids. (English) Zbl 07536757
High order local farfield expansions absorbing boundary conditions for multiple scattering. (English) Zbl 07525160
A conservative implicit-PIC scheme for the hybrid kinetic-ion fluid-electron plasma model on curvilinear meshes. (English) Zbl 07525135
The dynamics of suspended rough platelets in shear flows with different Reynolds numbers. (English) Zbl 1485.76087
Solving of multi-connected curvilinear boundary value problems by the fast PIES. (English) Zbl 1507.65282
MSC:
65N99
A two-dimensional stabilized discontinuous Galerkin method on curvilinear embedded boundary grids. (English) Zbl 1489.65142
Reviewer: Hendrik Ranocha (Hamburg)
Quadrature for implicitly-defined finite element functions on curvilinear polygons. (English) Zbl 1524.65851
A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids. (English) Zbl 1484.76043
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
A second order accurate fixed-grid method for multi-dimensional Stefan problem with moving phase change materials. (English) Zbl 1510.80021
Optimal-rate finite-element solution of Dirichlet problems in curved domains with straight-edged tetrahedra. (English) Zbl 1519.65056
Reviewer: Lijun Yi (Shanghai)
Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators. (English) Zbl 07515875
High-order accurate kinetic-energy and entropy preserving (KEEP) schemes on curvilinear grids. (English) Zbl 07513802
Inverse Steklov spectral problem for curvilinear polygons. (English) Zbl 1471.65187
Reviewer: Mohammed El Aïdi (Bogotá)
Justification of the collocation method for an integral equation of the exterior Dirichlet problem for the Laplace equation. (English. Russian original) Zbl 1473.65355
Comput. Math. Math. Phys. 61, No. 6, 923-937 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 6, 936-950 (2021).
A least-squares formulation of the moving discontinuous Galerkin finite element method with interface condition enforcement. (English) Zbl 1524.65824
Numerical modeling for compressible two-phase flows and application to near-field underwater explosions. (English) Zbl 1521.76458
Study of approximate solution to integral equation associated with mixed boundary value problem for Laplace equation. (Russian. English translation) Zbl 1474.45076
Ufim. Mat. Zh. 13, No. 1, 86-98 (2021); translation in Ufa Math. J. 13, No. 1, 85-97 (2021).
Geometric particle-in-cell simulations of the Vlasov-Maxwell system in curvilinear coordinates. (English) Zbl 1466.65142
EBR schemes with curvilinear reconstructions of variables in the near-wall region. (English. Russian original) Zbl 1459.76085
Comput. Math. Math. Phys. 61, No. 1, 1-16 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 1, 3-19 (2021).
Optimal Lagrange and Hermite finite elements for Dirichlet problems in curved domains with straight-edged triangles. (English) Zbl 07812944
Coupling the curvilinear immersed boundary method with rotation-free finite elements for simulating fluid-structure interaction: concepts and applications. (English) Zbl 1512.76085
Roy, Somnath (ed.) et al., Immersed boundary method. Development and applications. Singapore: Springer. Comput. Methods Eng. Sci., 107-138 (2020).
Justification of collocation method for one class of curvilinear integral equations. (English) Zbl 1513.65511
Well balanced residual distribution for the ALE spherical shallow water equations on moving adaptive meshes. (English) Zbl 1453.65295
Grid-characteristic method on joint structured regular and curved grids for modeling coupled elastic and acoustic wave phenomena in objects of complex shape. (English) Zbl 1451.65134
Energy conservative SBP discretizations of the acoustic wave equation in covariant form on staggered curvilinear grids. (English) Zbl 1436.65108
MSC:
65M06
Extending the unified transform: curvilinear polygons and variable coefficient PDEs. (English) Zbl 1466.65223
Entropy-stable multidimensional summation-by-parts discretizations on hp-adaptive curvilinear grids for hyperbolic conservation laws. (English) Zbl 07197755
Free-stream preserving finite difference schemes for ideal magnetohydrodynamics on curvilinear meshes. (English) Zbl 1432.76192
Reviewer: Bülent Karasözen (Ankara)
Hierarchical \(p\)-version \(C^1\) finite elements on quadrilateral and triangular domains with curved boundaries and their applications to Kirchhoff plates. (English) Zbl 07845170
A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes. (English) Zbl 1453.65333
Robust approaches to handling complex geometries with Galerkin difference methods. (English) Zbl 1452.65238
Energy-conserving perfect-conductor boundary conditions for an implicit, curvilinear Darwin particle-in-cell algorithm. (English) Zbl 1452.65187
A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme. (English) Zbl 1452.76123
A genuinely two-dimensional Riemann solver for compressible flows in curvilinear coordinates. (English) Zbl 1452.76131
Encapsulated high order difference operators on curvilinear non-conforming grids. (English) Zbl 1451.65103
Integral and integro-differential equations of curvilinear convolution type. (Russian. English summary) Zbl 1463.45019
Towards simulation-driven optimization of high-order meshes by the target-matrix optimization paradigm. (English) Zbl 1453.65298
Roca, Xevi (ed.) et al., Proceedings of the 27th International Meshing Roundtable (IMR), Albuquerque, NM, USA, October 1–5, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 127, 285-302 (2019).
A Particle-In-Cell solver based on a high-order hybridizable discontinuous Galerkin spectral element method on unstructured curved meshes. (English) Zbl 1441.76071
Extension of tensor-product generalized and dense-norm summation-by-parts operators to curvilinear coordinates. (English) Zbl 1428.65004
Fifth order finite volume WENO in general orthogonally-curvilinear coordinates. (English) Zbl 1496.76092
A stable dissipative compact finite difference scheme with global accuracy of ninth order. (English) Zbl 1519.76202
Longitudinal shear flow over a bubble mattress with curved menisci: arbitrary protrusion angle and solid fraction. (English) Zbl 1481.76060
MSC:
76B99
Spectral mimetic least-squares methods on curvilinear grids. (English) Zbl 1476.65316
Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 111-118 (2018).
MSC:
65N35
A curvilinear high order finite element framework for electromechanics: from linearised electro-elasticity to massively deformable dielectric elastomers. (English) Zbl 1439.74461
Simulation of three-dimensional nanoscale light interaction with spatially dispersive metals using a high order curvilinear DGTD method. (English) Zbl 1416.65358
Assessment of characteristic boundary conditions based on the artificial compressibility method in generalized curvilinear coordinates for solution of the Euler equations. (English) Zbl 1417.35102
A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes. (English) Zbl 1394.76077
A novel sharp interface capturing method for two- and three-phase incompressible flows. (English) Zbl 1410.76254
An implicit numerical scheme for solution of incompressible Navier-Stokes equations on curvilinear grids. (English) Zbl 1390.76566
High resolution finite volume scheme based on the quintic spline reconstruction on non-uniform grids. (English) Zbl 1393.65023
Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions. (English) Zbl 1382.65409
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
High-order multi-material ALE hydrodynamics. (English) Zbl 1480.65246
Reviewer: Mohammed Kaabar (Gelugor)
Solving Poisson equation with Robin boundary condition on a curvilinear mesh using high order mimetic discretization methods. (English) Zbl 1540.65450
MSC:
65N06
A robust higher order compact scheme for solving general second order partial differential equation with derivative source terms on nonuniform curvilinear meshes. (English) Zbl 1398.65266
An adaptive numerical method for free surface flows passing rigidly mounted obstacles. (English) Zbl 1410.76255
A volume-of-fluid (VOF) interface-sharpening method for two-phase incompressible flows. (English) Zbl 1390.76498
Chebyshev collocation spectral lattice Boltzmann method in generalized curvilinear coordinates. (English) Zbl 1390.76719
Time-dependent numerical modeling of large-scale astrophysical processes: from relatively smooth flows to explosive events with extremely large discontinuities and high Mach numbers. (English) Zbl 1458.85001
Asymptotic computation for transient heat conduction performance of periodic porous materials in curvilinear coordinates by the second-order two-scale method. (English) Zbl 1387.35328
Adaptive-anisotropic wavelet collocation method on general curvilinear coordinate systems. (English) Zbl 1380.65298
High-order numerical solution of the Helmholtz equation for domains with reentrant corners. (English) Zbl 1367.65155
Classical solution of the first mixed problem for second-order hyperbolic equation in curvilinear half-strip with variable coefficients. (English. Russian original) Zbl 1368.35165
Differ. Equ. 53, No. 1, 74-85 (2017); translation from Differ. Uravn. 53, No. 1, 77-88 (2017).
A finite difference solver for incompressible Navier-Stokes flows in complex domains. (English) Zbl 1422.65159
Solving the Helmholtz equation for general smooth geometry using simple grids. (English) Zbl 1469.65159
MSC:
65N06
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