Found 80 Documents (Results 1–80)
When rational functions meet virtual elements: the lightning virtual element method. (English) Zbl 07901427
MSC:
65Mxx
Weak Galerkin methods for elliptic interface problems on curved polygonal partitions. (English) Zbl 07890847
Mixed virtual element methods for elliptic optimal control problems with boundary observations in \(L^2(\Gamma)\). (English) Zbl 07885877
A Cartesian mesh approach to embedded interface problems using the virtual element method. (English) Zbl 07863619
An analysis of nonconforming virtual element methods on polytopal meshes with small faces. (English) Zbl 1540.65493
An isoparametric finite element method for time-fractional parabolic equation on 2D curved domain. (English) Zbl 1541.65105
A high-order shifted boundary virtual element method for Poisson equations on 2D curved domains. (English) Zbl 1541.65155
Enriched virtual element space on curved meshes with an application in magnetics. (English) Zbl 07839863
Evaluation of inner products of implicitly defined finite element functions on multiply connected planar mesh cells. (English) Zbl 07805931
A virtual element method for the solution of 2D time-harmonic elastic wave equations via scalar potentials. (English) Zbl 1529.65123
Nonconforming virtual element discretization for the transmission eigenvalue problem. (English) Zbl 07801670
The nonconforming virtual element method for Oseen’s equation using a stream-function formulation. (English) Zbl 1531.65227
Reviewer: Bülent Karasözen (Ankara)
Virtual elements on polyhedra with a curved face. (English) Zbl 1535.65274
Reviewer: Murli Gupta (Washington, D.C.)
Convergence analysis of expanded mixed virtual element methods for nonlocal problems. (English) Zbl 1535.65180
Virtual element method for elliptic bulk-surface PDEs in three space dimensions. (English) Zbl 07769115
Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. (English) Zbl 1538.65511
The virtual element method. (English) Zbl 07736655
An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows. (English) Zbl 1518.35562
A conforming virtual element method based on unfitted meshes for the elliptic interface problem. (English) Zbl 1529.65132
The bulk-surface virtual element method for reaction-diffusion PDEs: analysis and applications. (English) Zbl 07708276
CVEM-BEM coupling for the simulation of time-domain wave fields scattered by obstacles with complex geometries. (English) Zbl 1514.65185
CQMC: an improved code for low-dimensional compressed quasi-MonteCarlo cubature. (English) Zbl 1540.65093
A new approach for solving heat conduction under zero and non-zero initial conditions. (English) Zbl 1537.80017
Virtual element methods for engineering applications. (English) Zbl 1503.65251
Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 557-605 (2022).
An introduction to second order divergence-free VEM for fluidodynamics. (English) Zbl 1503.65286
Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 185-225 (2022).
Some virtual element methods for infinitesimal elasticity problems. (English) Zbl 1503.65285
Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 137-183 (2022).
VEM approach for homogenization of fibre-reinforced composites with curvilinear inclusions. (English) Zbl 1509.74054
Aldakheel, Fadi (ed.) et al., Current trends and open problems in computational mechanics. Cham: Springer. 31-39 (2022).
A weak Galerkin mixed finite element method for second order elliptic equations on 2D curved domains. (English) Zbl 1498.65204
Weakly imposed Dirichlet boundary conditions for 2D and 3D virtual elements. (English) Zbl 1507.74453
Immersed virtual element methods for elliptic interface problems in two dimensions. (English) Zbl 1497.65223
Virtual element methods for general linear elliptic interface problems on polygonal meshes with small edges. (English) Zbl 1524.65862
Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems. (English) Zbl 1524.65785
NURBS enhanced virtual element methods for the spatial discretization of the multigroup neutron diffusion equation on curvilinear polygonal meshes. (English) Zbl 07585129
MSC:
82-XX
Virtual element method with adaptive refinement for problems of two-dimensional complex topology models from an engineering perspective. (English) Zbl 1497.74079
On the coupling of the curved virtual element method with the one-equation boundary element method for 2D exterior Helmholtz problems. (English) Zbl 1501.65145
Sharper error estimates for virtual elements and a bubble-enriched version. (English) Zbl 1498.65195
Reviewer: Sebastian Franz (Dresden)
Pressure-independent velocity error estimates for (Navier-)Stokes nonconforming virtual element discretization with divergence free. (English) Zbl 1493.65217
InRS: implementing the indicator function of NURBS-shaped planar domains. (English) Zbl 1496.65031
MSC:
65D18
Virtual elements for sound propagation in complex poroelastic media. (English) Zbl 07492674
MSC:
74-XX
Solving of multi-connected curvilinear boundary value problems by the fast PIES. (English) Zbl 1507.65282
MSC:
65N99
Quadrature for implicitly-defined finite element functions on curvilinear polygons. (English) Zbl 1524.65851
A virtual element method for the wave equation on curved edges in two dimensions. (English) Zbl 1489.65139
Reviewer: Baasansuren Jadamba (Rochester)
The mixed virtual element method on curved edges in two dimensions. (English) Zbl 1507.65236
MSC:
65N30
Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics. (English) Zbl 1506.74390
Scaled boundary cubature scheme for numerical integration over planar regions with affine and curved boundaries. (English) Zbl 1506.65047
MSC:
65D30
The FMM accelerated PIES with the modified binary tree in solving potential problems for the domains with curvilinear boundaries. (English) Zbl 1486.65292
High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. (English) Zbl 1470.86002
Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 159-225 (2021).
Virtual element method for solving an inhomogeneous Brusselator model with and without cross-diffusion in pattern formation. (English) Zbl 1501.65068
A virtual element method for the miscible displacement of incompressible fluids in porous media. (English) Zbl 1506.76164
Multiscale VEM for the Biot consolidation analysis of complex and highly heterogeneous domains. (English) Zbl 1506.74445
NURBS-based geometries: a mapping approach for virtual serendipity elements. (English) Zbl 1506.74452
Bulk-surface virtual element method for systems of PDEs in two-space dimensions. (English) Zbl 1459.65182
Reviewer: Bülent Karasözen (Ankara)
A virtual element method coupled with a boundary integral non reflecting condition for 2D exterior Helmholtz problems. (English) Zbl 1524.65788
Weak Galerkin finite element with curved edges. (English) Zbl 1460.65149
Reviewer: Bülent Karasözen (Ankara)
A fully discrete virtual element scheme for the Cahn-Hilliard equation in mixed form. (English) Zbl 07678426
A three-dimensional Hellinger-Reissner virtual element method for linear elasticity problems. (English) Zbl 1442.65358
Extension of the nonconforming Trefftz virtual element method to the Helmholtz problem with piecewise constant wave number. (English) Zbl 1436.65185
Bricks for the mixed high-order virtual element method: projectors and differential operators. (English) Zbl 1437.65184
Modeling curved interfaces without element-partitioning in the extended finite element method. (English) Zbl 07859713
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