Found 442 Documents (Results 1–100)
A global space-time Trefftz DG scheme for the time-dependent isotropic elastic wave equations. (English) Zbl 1542.65170
Trefftz discontinuous Galerkin discretization for the Stokes problem. (English) Zbl 07872229
Reviewer: Alain Brillard (Riedisheim)
A space-time DG method for the Schrödinger equation with variable potential. (English) Zbl 1541.65097
The meshless solutions of Laplacian non-harmonic and Cauchy problems by developing novel hybrid methods. (English) Zbl 1537.65188
A numerical analysis of the generalised collocation Trefftz method for some 2D Laplace problems. (English) Zbl 1539.65188
MSC:
65N35
Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems. (English) Zbl 1541.65153
Trefftz approximation space for Poisson equation in perforated domains. (English) Zbl 1529.65111
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 195-203 (2023).
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation. (English) Zbl 07741242
A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates. (English) Zbl 1538.74094
A space-time Trefftz DG scheme for the time-dependent Maxwell equations in anisotropic media. (English) Zbl 1540.78024
Wavenumber explicit convergence of a multiscale generalized finite element method for heterogeneous Helmholtz problems. (English) Zbl 1517.65085
Computation of plane potential flow around multi-element airfoils using the Schottky-Klein prime function. (English) Zbl 1516.76011
Non-conforming Trefftz finite element implementation of orthotropic Kirchhoff plate model based on consistent couple stress theory. (English) Zbl 1522.74102
A space-time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients. (English) Zbl 1509.65099
Reviewer: Bülent Karasözen (Ankara)
Global space-time Trefftz DG schemes for the time-dependent linear wave equation. (English) Zbl 1524.65624
The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation. (English) Zbl 1503.65299
Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 363-410 (2022).
A Trefftz based meshfree local method for bending analysis of arbitrarily shaped laminated composite and isotropic plates. (English) Zbl 1521.74134
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations. (English) Zbl 1501.65093
Reviewer: Abdallah Bradji (Annaba)
A novel localized collocation solver based on a radial Trefftz basis for thermal conduction analysis in FGMs with exponential variations. (English) Zbl 1524.65471
Numerical experiments of the dual null field method for Dirichlet problems of Laplace’s equation in elliptic domains with elliptic holes. (English) Zbl 1485.65126
A space-time Trefftz discontinuous Galerkin method for the linear Schrödinger equation. (English) Zbl 1491.65093
Reviewer: Yan Xu (Hefei)
Quadrature for implicitly-defined finite element functions on curvilinear polygons. (English) Zbl 1524.65851
Trefftz co-chain calculus. (English) Zbl 1489.65156
A corotational mixed flat shell finite element for the efficient geometrically nonlinear analysis of laminated composite structures. (English) Zbl 07863862
Hybrid-Trefftz finite element method for heat conduction in functionally graded materials. (English) Zbl 1486.74032
Qin, Qing-Hua (ed.), Trefftz and fundamental solution-based finite element methods. Sharjah: Bentham Science Publishers. 133-162 (2021).
Hybrid-Trefftz finite elements for non-homogeneous parabolic problems. (English) Zbl 1486.74020
Qin, Qing-Hua (ed.), Trefftz and fundamental solution-based finite element methods. Sharjah: Bentham Science Publishers. 55-102 (2021).
Introduction to hybrid-Trefftz finite element method. (English) Zbl 1486.74131
Qin, Qing-Hua (ed.), Trefftz and fundamental solution-based finite element methods. Sharjah: Bentham Science Publishers. 1-54 (2021).
Applications of the Trefftz method to the anti-plane fracture of 1D hexagonal piezoelectric quasicrystals. (English) Zbl 1521.74405
Amplitude-based generalized plane waves: new quasi-Trefftz functions for scalar equations in two dimensions. (English) Zbl 1467.65110
Reviewer: Bülent Karasözen (Ankara)
Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method. (English) Zbl 1524.65894
Direct boundary method toolbox for some elliptic problems in FreeHyTE framework. (English) Zbl 1464.65003
Generalized conforming Trefftz element for size-dependent analysis of thin microplates based on the modified couple stress theory. (English) Zbl 1464.74202
A novel localized collocation solver based on Trefftz basis for potential-based inverse electromyography. (English) Zbl 1508.65154
A hybrid-Trefftz finite element platform for solid and porous elastodynamics. (English) Zbl 1464.74190
Explicit polynomial Trefftz-DG method for space-time elasto-acoustics. (English) Zbl 1484.65244
Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 395-405 (2020).
Analytic series solutions of 2D forward and backward heat conduction problems in rectangles and a new regularization. (English) Zbl 1475.65107
A discontinuous Galerkin Trefftz type method for solving the two dimensional Maxwell equations. (English) Zbl 1452.76088
Analytical solution of elastostatic problems of a simply connected body loaded with nonconservative volume forces: theoretical and algorithmic support. (Russian. English summary) Zbl 1463.74009
Unified hybrid-Trefftz finite element formulation for dynamic problems. (English) Zbl 1451.65151
Alves, Carlos (ed.) et al., Advances in Trefftz methods and their applications. Selected papers based on the presentations at the 9th conference on Trefftz methods and 5th conference on method of fundamental solutions, Lisbon, Portugal, July 29–31, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 23, 157-188 (2020).
Tent pitching and Trefftz-DG method for the acoustic wave equation. (English) Zbl 1447.65087
Reviewer: Marius Ghergu (Dublin)
Comparison of three meshless methods for 2D harmonic and biharmonic problems. (English) Zbl 1464.65212
Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport. (English) Zbl 1437.35523
Coupling FEM with a multiple-subdomain Trefftz method. (English) Zbl 1447.35130
Reviewer: Alain Brillard (Riedisheim)
Extension of the nonconforming Trefftz virtual element method to the Helmholtz problem with piecewise constant wave number. (English) Zbl 1436.65185
A Trefftz discontinuous Galerkin method for time-harmonic waves with a generalized impedance boundary condition. (English) Zbl 1433.65299
Hybrid Chebyshev polynomial scheme for solving elliptic partial differential equations. (English) Zbl 1431.65231
An efficient boundary collocation scheme for transient thermal analysis in large-size-ratio functionally graded materials under heat source load. (English) Zbl 1464.74418
The harmonic virtual element method: stabilization and exponential convergence for the Laplace problem on polygonal domains. (English) Zbl 1496.65214
A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates. (English) Zbl 1464.74201
Hybrid-Trefftz finite elements for non-homogeneous parabolic problems using a novel dual reciprocity variant. (English) Zbl 1464.74191
Computation of plane potential flow past multi-element airfoils using conformal mapping, revisited. (English) Zbl 1421.30008
Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. (English) Zbl 1419.65105
Reviewer: Abdallah Bradji (Annaba)
A Trefftz/MFS mixed-type method to solve the Cauchy problem of the Laplace equation. (English) Zbl 1428.65100
Reviewer: Mahmoud Zaky (Giza)
A semi-analytical collocation Trefftz scheme for solving multi-term time fractional diffusion-wave equations. (English) Zbl 1404.65193
Trefftz method in an inverse problem of two-phase flow boiling in a minichannel. (English) Zbl 1404.76190
Application of conformal mappings and the numerical analysis of conditioning of the matrices in Trefftz method for some boundary value problems. (English) Zbl 1404.65289
An isogeometric extension of Trefftz method for elastostatics in two dimensions. (English) Zbl 07878358
Three dimensional hybrid-Trefftz stress finite elements for plates and shells. (English) Zbl 07868546
Trefftz energy method for solving the Cauchy problem of the Laplace equation. (English) Zbl 1466.65168
On wave based weak Trefftz discontinuous Galerkin approach for medium-frequency heterogeneous Helmholtz problem. (English) Zbl 1439.76082
Trefftz discontinuous Galerkin method for Friedrichs systems with linear relaxation: application to the \(P_1\) model. (English) Zbl 1401.65135
Identification of the heat transfer coefficient during cooling process by means of Trefftz method. (English) Zbl 1403.80040
MSC:
80M25
80A20
A Trefftz collocation method for multiple interacting spherical nano-inclusions considering the interface stress effect. (English) Zbl 1403.74298
A Trefftz collocation method (TCM) for three-dimensional linear elasticity by using the Papkovich-Neuber solutions with cylindrical harmonics. (English) Zbl 1403.74011
A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation. (English) Zbl 1421.65026
Reviewer: Konstantinos Chrysafinos (Athens)
Numerical integration in the Trefftz finite element method. (English) Zbl 1413.65429
Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 18. Proceedings of the 18th seminar (PANM), Janov nad Nisou, Czech Republic, June 19–24, 2016. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 97-101 (2017).
Reviewer: Radka Keslerová (Praha)
Numerical method for penetrable obstcales scattering problems. (Chinese. English summary) Zbl 1399.65293
A novel Trefftz method of the inverse Cauchy problem for 3D modified Helmholtz equation. (English) Zbl 1398.65276
A symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation. (English) Zbl 1380.65360
Numerical simulation of wave propagation in inhomogeneous media using generalized plane waves. (English) Zbl 1378.65179
Reviewer: Abdallah Bradji (Annaba)
Exactly determining the expansion coefficients in the recovery of space-dependent pollutant source. (English) Zbl 1375.65145
Extended variational theory of complex rays in heterogeneous Helmholtz problem. (English) Zbl 1398.74043
An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile. (English) Zbl 1370.65049
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