Loli, Gabriele; Sangalli, Giancarlo; Tesini, Paolo High-order spline upwind for space-time isogeometric analysis. (English) Zbl 07804972 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116408, 18 p. (2023). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{G. Loli} et al., Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116408, 18 p. (2023; Zbl 07804972) Full Text: DOI arXiv
Wang, Xiaoqiang; Li, Peichao; Qi, Tao; Li, Longxin; Li, Tao; Jin, Jie; Lu, Detang A framework to model the hydraulic fracturing with thermo-hydro-mechanical coupling based on the variational phase-field approach. (English) Zbl 07804970 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116406, 33 p. (2023). MSC: 76-XX 80-XX PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116406, 33 p. (2023; Zbl 07804970) Full Text: DOI
Wang, Hao; Hu, Tianyi; Leng, Yu; de Lucio, Mario; Gomez, Hector Stabilized isogeometric formulation of the multi-network poroelasticity and transport model (\(\mathrm{MPET}^2\)) for subcutaneous injection of monoclonal antibodies. (English) Zbl 07788103 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116362, 25 p. (2023). MSC: 76-XX 92-XX PDFBibTeX XMLCite \textit{H. Wang} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116362, 25 p. (2023; Zbl 07788103) Full Text: DOI
Tezduyar, Tayfun E.; Takizawa, Kenji Space-time computational flow analysis: unconventional methods and first-ever solutions. (English) Zbl 07788070 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116137, 26 p. (2023). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{T. E. Tezduyar} and \textit{K. Takizawa}, Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116137, 26 p. (2023; Zbl 07788070) Full Text: DOI
Cui, Xin; Wong, Louis Ngai Yuen A 3D fully thermo-hydro-mechanical coupling model for saturated poroelastic medium. (English) Zbl 1507.76197 Comput. Methods Appl. Mech. Eng. 394, Article ID 114939, 38 p. (2022). MSC: 76S05 74F10 PDFBibTeX XMLCite \textit{X. Cui} and \textit{L. N. Y. Wong}, Comput. Methods Appl. Mech. Eng. 394, Article ID 114939, 38 p. (2022; Zbl 1507.76197) Full Text: DOI
Álvarez Hostos, Juan C.; Cruchaga, Marcela A.; Fachinotti, Víctor D.; Zambrano Carrillo, Javier A.; Zamora, Esteban A plausible extension of standard penalty, streamline upwind and immersed boundary techniques to the improved element-free Galerkin-based solution of incompressible Navier-Stokes equations. (English) Zbl 1506.76020 Comput. Methods Appl. Mech. Eng. 372, Article ID 113380, 27 p. (2020). MSC: 76D05 76M10 65M60 PDFBibTeX XMLCite \textit{J. C. Álvarez Hostos} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113380, 27 p. (2020; Zbl 1506.76020) Full Text: DOI
Ahmed, Naveed; John, Volker An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows. (English) Zbl 1442.76034 Comput. Methods Appl. Mech. Eng. 365, Article ID 112997, 15 p. (2020). MSC: 76D05 76M10 65M60 PDFBibTeX XMLCite \textit{N. Ahmed} and \textit{V. John}, Comput. Methods Appl. Mech. Eng. 365, Article ID 112997, 15 p. (2020; Zbl 1442.76034) Full Text: DOI
Behzadi, Faranak; Newman, James C. III An exact source-term balancing scheme on the finite element solution of shallow water equations. (English) Zbl 1441.76023 Comput. Methods Appl. Mech. Eng. 359, Article ID 112662, 21 p. (2020). MSC: 76B15 65M60 76M10 PDFBibTeX XMLCite \textit{F. Behzadi} and \textit{J. C. Newman III}, Comput. Methods Appl. Mech. Eng. 359, Article ID 112662, 21 p. (2020; Zbl 1441.76023) Full Text: DOI
Erath, Christoph; Praetorius, Dirk Optimal adaptivity for the SUPG finite element method. (English) Zbl 1441.65101 Comput. Methods Appl. Mech. Eng. 353, 308-327 (2019). MSC: 65N30 65N12 65N15 65N50 76M10 PDFBibTeX XMLCite \textit{C. Erath} and \textit{D. Praetorius}, Comput. Methods Appl. Mech. Eng. 353, 308--327 (2019; Zbl 1441.65101) Full Text: DOI arXiv
Berrone, S.; Borio, A.; Manzini, G. SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations. (English) Zbl 1440.65182 Comput. Methods Appl. Mech. Eng. 340, 500-529 (2018). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{S. Berrone} et al., Comput. Methods Appl. Mech. Eng. 340, 500--529 (2018; Zbl 1440.65182) Full Text: DOI arXiv
Lee, Chun Hean; Gil, Antonio J.; Hassan, Osama I.; Bonet, Javier; Kulasegaram, Sivakumar A variationally consistent streamline upwind Petrov-Galerkin smooth particle hydrodynamics algorithm for large strain solid dynamics. (English) Zbl 1439.74438 Comput. Methods Appl. Mech. Eng. 318, 514-536 (2017). MSC: 74S05 65M60 74A05 PDFBibTeX XMLCite \textit{C. H. Lee} et al., Comput. Methods Appl. Mech. Eng. 318, 514--536 (2017; Zbl 1439.74438) Full Text: DOI
Benedetto, M. F.; Berrone, S.; Borio, A.; Pieraccini, S.; Scialò, S. Order preserving SUPG stabilization for the virtual element formulation of advection-diffusion problems. (English) Zbl 1439.76051 Comput. Methods Appl. Mech. Eng. 311, 18-40 (2016). MSC: 76M10 65N30 65N12 PDFBibTeX XMLCite \textit{M. F. Benedetto} et al., Comput. Methods Appl. Mech. Eng. 311, 18--40 (2016; Zbl 1439.76051) Full Text: DOI
Giere, Swetlana; Iliescu, Traian; John, Volker; Wells, David SUPG reduced order models for convection-dominated convection-diffusion-reaction equations. (English) Zbl 1425.65111 Comput. Methods Appl. Mech. Eng. 289, 454-474 (2015). MSC: 65M60 35K20 35K57 PDFBibTeX XMLCite \textit{S. Giere} et al., Comput. Methods Appl. Mech. Eng. 289, 454--474 (2015; Zbl 1425.65111) Full Text: DOI
Ahmed, Naveed; John, Volker Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations. (English) Zbl 1425.65106 Comput. Methods Appl. Mech. Eng. 285, 83-101 (2015). MSC: 65M60 35K20 35K57 65M50 PDFBibTeX XMLCite \textit{N. Ahmed} and \textit{V. John}, Comput. Methods Appl. Mech. Eng. 285, 83--101 (2015; Zbl 1425.65106) Full Text: DOI
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia An adaptive SUPG method for evolutionary convection-diffusion equations. (English) Zbl 1296.76090 Comput. Methods Appl. Mech. Eng. 273, 219-237 (2014). MSC: 76M10 65M60 35K57 35K20 PDFBibTeX XMLCite \textit{J. de Frutos} et al., Comput. Methods Appl. Mech. Eng. 273, 219--237 (2014; Zbl 1296.76090) Full Text: DOI
García-Archilla, Bosco Shishkin mesh simulation: a new stabilization technique for convection-diffusion problems. (English) Zbl 1352.65500 Comput. Methods Appl. Mech. Eng. 256, 1-16 (2013). MSC: 65N30 65N50 65N12 35K57 PDFBibTeX XMLCite \textit{B. García-Archilla}, Comput. Methods Appl. Mech. Eng. 256, 1--16 (2013; Zbl 1352.65500) Full Text: DOI arXiv
John, Volker; Novo, Julia A robust SUPG norm a posteriori error estimator for stationary convection-diffusion equations. (English) Zbl 1297.65157 Comput. Methods Appl. Mech. Eng. 255, 289-305 (2013). MSC: 65N30 65N15 35K57 PDFBibTeX XMLCite \textit{V. John} and \textit{J. Novo}, Comput. Methods Appl. Mech. Eng. 255, 289--305 (2013; Zbl 1297.65157) Full Text: DOI
Sevilla, Ruben; Hassan, Oubay; Morgan, Kenneth An analysis of the performance of a high-order stabilised finite element method for simulating compressible flows. (English) Zbl 1297.76105 Comput. Methods Appl. Mech. Eng. 253, 15-27 (2013). MSC: 76M10 76Nxx PDFBibTeX XMLCite \textit{R. Sevilla} et al., Comput. Methods Appl. Mech. Eng. 253, 15--27 (2013; Zbl 1297.76105) Full Text: DOI Link
Wervaecke, C.; Beaugendre, H.; Nkonga, Boniface A fully coupled RANS Spalart-Allmaras SUPG formulation for turbulent compressible flows on stretched-unstructured grids. (English) Zbl 1253.76044 Comput. Methods Appl. Mech. Eng. 233-236, 109-122 (2012). MSC: 76F50 76M10 PDFBibTeX XMLCite \textit{C. Wervaecke} et al., Comput. Methods Appl. Mech. Eng. 233--236, 109--122 (2012; Zbl 1253.76044) Full Text: DOI
Bause, Markus; Schwegler, Kristina Analysis of stabilized higher-order finite element approximation of nonstationary and nonlinear convection-diffusion-reaction equations. (English) Zbl 1243.65120 Comput. Methods Appl. Mech. Eng. 209-212, 184-196 (2012). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{M. Bause} and \textit{K. Schwegler}, Comput. Methods Appl. Mech. Eng. 209--212, 184--196 (2012; Zbl 1243.65120) Full Text: DOI
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia An adaptive finite element method for evolutionary convection dominated problems. (English) Zbl 1239.65063 Comput. Methods Appl. Mech. Eng. 200, No. 49-52, 3601-3612 (2011). MSC: 65M60 35K20 PDFBibTeX XMLCite \textit{J. de Frutos} et al., Comput. Methods Appl. Mech. Eng. 200, No. 49--52, 3601--3612 (2011; Zbl 1239.65063) Full Text: DOI
John, Volker; Knobloch, Petr; Savescu, Simona B. A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I. (English) Zbl 1230.76026 Comput. Methods Appl. Mech. Eng. 200, No. 41-44, 2916-2929 (2011). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{V. John} et al., Comput. Methods Appl. Mech. Eng. 200, No. 41--44, 2916--2929 (2011; Zbl 1230.76026) Full Text: DOI
Avila, Matias; Codina, Ramon; Principe, Javier Spatial approximation of the radiation transport equation using a subgrid-scale finite element method. (English) Zbl 1225.80010 Comput. Methods Appl. Mech. Eng. 200, No. 5-8, 425-438 (2011). MSC: 80M10 80A20 PDFBibTeX XMLCite \textit{M. Avila} et al., Comput. Methods Appl. Mech. Eng. 200, No. 5--8, 425--438 (2011; Zbl 1225.80010) Full Text: DOI Link
Ben Haj Ali, Amine; Soulaimani, Azzeddine An unstructured finite element method for solving the compressible RANS equations and the Spalart-Allmaras turbulence model. (English) Zbl 1231.76136 Comput. Methods Appl. Mech. Eng. 199, No. 33-36, 2261-2272 (2010). MSC: 76M10 76F50 PDFBibTeX XMLCite \textit{A. Ben Haj Ali} and \textit{A. Soulaimani}, Comput. Methods Appl. Mech. Eng. 199, No. 33--36, 2261--2272 (2010; Zbl 1231.76136) Full Text: DOI
Burman, Erik Consistent SUPG-method for transient transport problems: stability and convergence. (English) Zbl 1227.76047 Comput. Methods Appl. Mech. Eng. 199, No. 17-20, 1114-1123 (2010). MSC: 76M20 76M10 76R99 65M12 PDFBibTeX XMLCite \textit{E. Burman}, Comput. Methods Appl. Mech. Eng. 199, No. 17--20, 1114--1123 (2010; Zbl 1227.76047) Full Text: DOI
John, Volker; Knobloch, Petr On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for \(P_{1}\) and \(Q_{1}\) finite elements. (English) Zbl 1194.76122 Comput. Methods Appl. Mech. Eng. 197, No. 21-24, 1997-2014 (2008). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{V. John} and \textit{P. Knobloch}, Comput. Methods Appl. Mech. Eng. 197, No. 21--24, 1997--2014 (2008; Zbl 1194.76122) Full Text: DOI
John, Volker; Knobloch, Petr On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review. (English) Zbl 1173.76342 Comput. Methods Appl. Mech. Eng. 196, No. 17-20, 2197-2215 (2007). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{V. John} and \textit{P. Knobloch}, Comput. Methods Appl. Mech. Eng. 196, No. 17--20, 2197--2215 (2007; Zbl 1173.76342) Full Text: DOI
Scovazzi, G. A discourse on Galilean invariance, SUPG stabilization, and the variational multiscale framework. (English) Zbl 1120.76333 Comput. Methods Appl. Mech. Eng. 196, No. 4-6, 1108-1132 (2007). MSC: 76M10 76M30 76N15 76D05 PDFBibTeX XMLCite \textit{G. Scovazzi}, Comput. Methods Appl. Mech. Eng. 196, No. 4--6, 1108--1132 (2007; Zbl 1120.76333) Full Text: DOI
Scovazzi, G. Stabilized shock hydrodynamics. II: Design and physical interpretation of the SUPG operator for Lagrangian computations. (English) Zbl 1120.76332 Comput. Methods Appl. Mech. Eng. 196, No. 4-6, 967-978 (2007). MSC: 76M10 76L05 PDFBibTeX XMLCite \textit{G. Scovazzi}, Comput. Methods Appl. Mech. Eng. 196, No. 4--6, 967--978 (2007; Zbl 1120.76332) Full Text: DOI
Scovazzi, G.; Christon, M. A.; Hughes, T. J. R.; Shadid, J. N. Stabilized shock hydrodynamics. I: A Lagrangian method. (English) Zbl 1120.76334 Comput. Methods Appl. Mech. Eng. 196, No. 4-6, 923-966 (2007). MSC: 76M10 76L05 PDFBibTeX XMLCite \textit{G. Scovazzi} et al., Comput. Methods Appl. Mech. Eng. 196, No. 4--6, 923--966 (2007; Zbl 1120.76334) Full Text: DOI
Ervin, Vincent J.; Miles, William W. Approximation of time-dependent, multi-component, viscoelastic fluid flow. (English) Zbl 1091.76033 Comput. Methods Appl. Mech. Eng. 194, No. 18-20, 2229-2255 (2005). MSC: 76M10 76A10 PDFBibTeX XMLCite \textit{V. J. Ervin} and \textit{W. W. Miles}, Comput. Methods Appl. Mech. Eng. 194, No. 18--20, 2229--2255 (2005; Zbl 1091.76033) Full Text: DOI
Hauke, Guillermo; Doweidar, M. H. Fourier analysis of semi-discrete and space–time stabilized methods for the advective–diffusive–reactive equation. I: SUPG. (English) Zbl 1112.76391 Comput. Methods Appl. Mech. Eng. 194, No. 1, 45-81 (2005). MSC: 76M10 76R99 76V05 65M12 PDFBibTeX XMLCite \textit{G. Hauke} and \textit{M. H. Doweidar}, Comput. Methods Appl. Mech. Eng. 194, No. 1, 45--81 (2005; Zbl 1112.76391) Full Text: DOI
Akin, J. E.; Tezduyar, Tayfun E. Calculation of the advective limit of the SUPG stabilization parameter for linear and higher-order elements. (English) Zbl 1067.76557 Comput. Methods Appl. Mech. Eng. 193, No. 21-22, 1909-1922 (2004). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{J. E. Akin} and \textit{T. E. Tezduyar}, Comput. Methods Appl. Mech. Eng. 193, No. 21--22, 1909--1922 (2004; Zbl 1067.76557) Full Text: DOI
Catabriga, Lucia; Coutinho, Alvaro L. G. A. Implicit SUPG solution of Euler equations using edge-based data structures. (English) Zbl 1014.76039 Comput. Methods Appl. Mech. Eng. 191, No. 32, 3477-3490 (2002). MSC: 76M10 76N15 PDFBibTeX XMLCite \textit{L. Catabriga} and \textit{A. L. G. A. Coutinho}, Comput. Methods Appl. Mech. Eng. 191, No. 32, 3477--3490 (2002; Zbl 1014.76039) Full Text: DOI
du Toit, C. G. A segregated finite element solution for non-isothermal flow. (English) Zbl 0986.76038 Comput. Methods Appl. Mech. Eng. 182, No. 3-4, 457-481 (2000). MSC: 76M10 76D05 80A20 PDFBibTeX XMLCite \textit{C. G. du Toit}, Comput. Methods Appl. Mech. Eng. 182, No. 3--4, 457--481 (2000; Zbl 0986.76038) Full Text: DOI
Franca, L. P.; Russo, A. Recovering SUPG using Petrov-Galerkin formulations enriched with adjoint residual-free bubbles. (English) Zbl 0977.76044 Comput. Methods Appl. Mech. Eng. 182, No. 3-4, 333-339 (2000). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{L. P. Franca} and \textit{A. Russo}, Comput. Methods Appl. Mech. Eng. 182, No. 3--4, 333--339 (2000; Zbl 0977.76044) Full Text: DOI
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J. On parameter choice and iterative convergence for stabilised discretisations of advection-diffusion problems. (English) Zbl 0977.76043 Comput. Methods Appl. Mech. Eng. 179, No. 1-2, 179-195 (1999). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{B. Fischer} et al., Comput. Methods Appl. Mech. Eng. 179, No. 1--2, 179--195 (1999; Zbl 0977.76043) Full Text: DOI
Codina, Ramon Comparison of some finite element methods for solving the diffusion-convection-reaction equation. (English) Zbl 0959.76040 Comput. Methods Appl. Mech. Eng. 156, No. 1-4, 185-210 (1998). MSC: 76M10 76R99 76V05 PDFBibTeX XMLCite \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 156, No. 1--4, 185--210 (1998; Zbl 0959.76040) Full Text: DOI
Nigro, N.; Storti, M.; Idelsohn, S.; Tezduyar, T. Physics based GMRES preconditioner for compressible and incompressible Navier-Stokes equations. (English) Zbl 0957.76032 Comput. Methods Appl. Mech. Eng. 154, No. 3-4, 203-228 (1998). MSC: 76M10 76N15 76D05 65Y05 PDFBibTeX XMLCite \textit{N. Nigro} et al., Comput. Methods Appl. Mech. Eng. 154, No. 3--4, 203--228 (1998; Zbl 0957.76032) Full Text: DOI
du Toit, C. G. Finite element solution of the Navier-Stokes equations for incompressible flow using a segregated algorithm. (English) Zbl 0916.76032 Comput. Methods Appl. Mech. Eng. 151, No. 1-2, 131-141 (1998). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{C. G. du Toit}, Comput. Methods Appl. Mech. Eng. 151, No. 1--2, 131--141 (1998; Zbl 0916.76032) Full Text: DOI
Storti, M.; Nigro, N.; Idelsohn, S. Equal-order interpolations: A unified approach to stabilize the incompressible and advective effects. (English) Zbl 0898.76068 Comput. Methods Appl. Mech. Eng. 143, No. 3-4, 317-331 (1997). MSC: 76M10 76N10 76D05 PDFBibTeX XMLCite \textit{M. Storti} et al., Comput. Methods Appl. Mech. Eng. 143, No. 3--4, 317--331 (1997; Zbl 0898.76068) Full Text: DOI
Canuto, C.; Van Kemenade, V. Bubble-stabilized spectral methods for the incompressible Navier-Stokes equations. (English) Zbl 0894.76057 Comput. Methods Appl. Mech. Eng. 135, No. 1-2, 35-61 (1996). MSC: 76M25 76D05 76D07 PDFBibTeX XMLCite \textit{C. Canuto} and \textit{V. Van Kemenade}, Comput. Methods Appl. Mech. Eng. 135, No. 1--2, 35--61 (1996; Zbl 0894.76057) Full Text: DOI
Russo, Alessandro Bubble stabilization of finite element methods for the linearized incompressible Navier-Stokes equations. (English) Zbl 0887.76038 Comput. Methods Appl. Mech. Eng. 132, No. 3-4, 335-343 (1996). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{A. Russo}, Comput. Methods Appl. Mech. Eng. 132, No. 3--4, 335--343 (1996; Zbl 0887.76038) Full Text: DOI
Hughes, Thomas J. R.; Franca, Leopoldo P.; Hulbert, Gregory M. A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations. (English) Zbl 0697.76100 Comput. Methods Appl. Mech. Eng. 73, No. 2, 173-189 (1989). MSC: 76R50 65Z05 76M99 PDFBibTeX XMLCite \textit{T. J. R. Hughes} et al., Comput. Methods Appl. Mech. Eng. 73, No. 2, 173--189 (1989; Zbl 0697.76100) Full Text: DOI
Hughes, Thomas J. R.; Franca, Leopoldo P.; Mallet, Michel A new finite element formulation for computational fluid dynamics. VI. Convergence analysis of the generalized SUPG formulation for linear time- dependent multidimensional advective-diffusive systems. (English) Zbl 0635.76066 Comput. Methods Appl. Mech. Eng. 63, 97-112 (1987). MSC: 76N10 80A20 65Z05 76R99 PDFBibTeX XMLCite \textit{T. J. R. Hughes} et al., Comput. Methods Appl. Mech. Eng. 63, 97--112 (1987; Zbl 0635.76066) Full Text: DOI
Devloo, Philippe; Oden, J. T.; Strouboulis, T. Implementation of an adaptive refinement technique for the SUPG algorithm. (English) Zbl 0596.73066 Comput. Methods Appl. Mech. Eng. 61, 339-358 (1987). MSC: 74S30 65N50 74-04 PDFBibTeX XMLCite \textit{P. Devloo} et al., Comput. Methods Appl. Mech. Eng. 61, 339--358 (1987; Zbl 0596.73066) Full Text: DOI