Fries, T. P.; Omerović, S.; Schöllhammer, D.; Steidl, J. Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements. (English) Zbl 1439.65212 Comput. Methods Appl. Mech. Eng. 313, 759-784 (2017). MSC: 65N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amara, M.; Chaudhry, S.; Diaz, J.; Djellouli, R.; Fiedler, S. L. A local wave tracking strategy for efficiently solving mid- and high-frequency Helmholtz problems. (English) Zbl 1423.74862 Comput. Methods Appl. Mech. Eng. 276, 473-508 (2014). MSC: 74S05 65N30 74J20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Nadukandi, Prashanth; Oñate, Eugenio; Garcia, Julio A fourth-order compact scheme for the Helmholtz equation: alpha-interpolation of FEM and FDM stencils. (English) Zbl 1235.65136 Int. J. Numer. Methods Eng. 86, No. 1, 18-46 (2011). MSC: 65N30 65N06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fries, Thomas-Peter; Belytschko, Ted The extended/generalized finite element method: an overview of the method and its applications. (English) Zbl 1202.74169 Int. J. Numer. Methods Eng. 84, No. 3, 253-304 (2010). MSC: 74S05 74-02 × Cite Format Result Cite Review PDF Full Text: DOI
Gillman, Adrianna; Djellouli, Rabia; Amara, Mohamed A mixed hybrid formulation based on oscillated finite element polynomials for solving Helmholtz problems. (English) Zbl 1115.65116 J. Comput. Appl. Math. 204, No. 2, 515-525 (2007). MSC: 65N30 35J05 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI
Harari, Isaac; Tezaur, Radek; Farhat, Charbel A study of higher-order discontinuous Galerkin and quadratic least-squares stabilized finite element computations for acoustics. (English) Zbl 1198.76069 J. Comput. Acoust. 14, No. 1, 1-19 (2006). MSC: 76M10 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Farhat, Charbel; Wiedemann-Goiran, Paul; Tezaur, Radek A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes. (English) Zbl 1163.74344 Wave Motion 39, No. 4, 307-317 (2004). MSC: 74-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Farhat, Charbel; Harari, Isaac; Hetmaniuk, Ulrich The discontinuous enrichment method for multiscale analysis. (English) Zbl 1054.76048 Comput. Methods Appl. Mech. Eng. 192, No. 28-30, 3195-3209 (2003). MSC: 76M10 76Q05 76R99 × Cite Format Result Cite Review PDF Full Text: DOI
Farhat, Charbel; Harari, Isaac; Hetmaniuk, Ulrich A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime. (English) Zbl 1027.76028 Comput. Methods Appl. Mech. Eng. 192, No. 11-12, 1389-1419 (2003). MSC: 76M10 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Gatski, T. B.; Grosch, C. E.; Rose, M. E. The numerical solution of the Navier-Stokes equations for 3-dimensional, unsteady, incompressible flows by compact schemes. (English) Zbl 0667.76051 J. Comput. Phys. 82, No. 2, 298-329 (1989). MSC: 76D05 35Q30 76M99 65N99 × Cite Format Result Cite Review PDF Full Text: DOI
Goldstein, Charles I. The weak element method applied to Helmholtz type equations. (English) Zbl 0611.65070 Appl. Numer. Math. 2, 409-426 (1986). Reviewer: Ll.G.Chambers MSC: 65N30 65N15 35J05 78A45 × Cite Format Result Cite Review PDF Full Text: DOI
Viecelli, J. A. Exponential difference operator approximation for the sixth order Onsager equation. (English) Zbl 0521.76107 J. Comput. Phys. 50, 162-170 (1983). MSC: 76U05 76M99 76N15 76T99 × Cite Format Result Cite Review PDF Full Text: DOI
Berger, Alan E.; Solomon, Jay M.; Ciment, Melvyn An analysis of a uniformly accurate difference method for a singular perturbation problem. (English) Zbl 0471.65062 Math. Comput. 37, 79-94 (1981). MSC: 65L10 34E15 × Cite Format Result Cite Review PDF Full Text: DOI
Babuška, Ivo; Oden, J. T.; Lee, J. K. Mixed-hybrid finite element approximations of second-order elliptic boundary value problems. Part 2: Weak-hybrid methods. (English) Zbl 0401.65068 Computer Methods Appl. Mech. Engin. 14, 1-22 (1978). MSC: 65N30 35J25 × Cite Format Result Cite Review PDF Full Text: DOI