Stoter, Stein K. F.; Müller, Peter; Cicalese, Luca; Tuveri, Massimiliano; Schillinger, Dominik; Hughes, Thomas J. R. A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans. (English) Zbl 1439.76184 Comput. Methods Appl. Mech. Eng. 321, 70-102 (2017). MSC: 76Z05 74F10 92C55 PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Comput. Methods Appl. Mech. Eng. 321, 70--102 (2017; Zbl 1439.76184) Full Text: DOI
Akkerman, I.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Hulshoff, S. The role of continuity in residual-based variational multiscale modeling of turbulence. (English) Zbl 1162.76355 Comput. Mech. 41, No. 3, 371-378 (2008). MSC: 76F65 76M10 76D05 76M30 PDFBibTeX XMLCite \textit{I. Akkerman} et al., Comput. Mech. 41, No. 3, 371--378 (2008; Zbl 1162.76355) Full Text: DOI
Bazilevs, Y.; Hughes, T. J. R. Weak imposition of Dirichlet boundary conditions in fluid mechanics. (English) Zbl 1115.76040 Comput. Fluids 36, No. 1, 12-26 (2007). MSC: 76M10 76R99 76D05 76F40 PDFBibTeX XMLCite \textit{Y. Bazilevs} and \textit{T. J. R. Hughes}, Comput. Fluids 36, No. 1, 12--26 (2007; Zbl 1115.76040) Full Text: DOI
Hughes, Thomas J. R.; Masud, Arif; Wan, Jing A stabilized mixed discontinuous Galerkin method for Darcy flow. (English) Zbl 1120.76040 Comput. Methods Appl. Mech. Eng. 195, No. 25-28, 3347-3381 (2006). MSC: 76M10 76S05 PDFBibTeX XMLCite \textit{T. J. R. Hughes} et al., Comput. Methods Appl. Mech. Eng. 195, No. 25--28, 3347--3381 (2006; Zbl 1120.76040) Full Text: DOI
Hughes, Thomas J. R.; Scovazzi, Guglielmo; Bochev, Pavel B.; Buffa, Annalisa A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method. (English) Zbl 1124.76027 Comput. Methods Appl. Mech. Eng. 195, No. 19-22, 2761-2787 (2006). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{T. J. R. Hughes} et al., Comput. Methods Appl. Mech. Eng. 195, No. 19--22, 2761--2787 (2006; Zbl 1124.76027) Full Text: DOI
Bazilevs, Y.; Beirão da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G. Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. (English) Zbl 1103.65113 Math. Models Methods Appl. Sci. 16, No. 7, 1031-1090 (2006). MSC: 65N30 65D07 35J25 65N15 74B05 74S05 76D07 76M10 PDFBibTeX XMLCite \textit{Y. Bazilevs} et al., Math. Models Methods Appl. Sci. 16, No. 7, 1031--1090 (2006; Zbl 1103.65113) Full Text: DOI
Hughes, T. J. R.; Cottrell, J. A.; Bazilevs, Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. (English) Zbl 1151.74419 Comput. Methods Appl. Mech. Eng. 194, No. 39-41, 4135-4195 (2005). MSC: 74S05 74S30 76M10 76M25 65N50 PDFBibTeX XMLCite \textit{T. J. R. Hughes} et al., Comput. Methods Appl. Mech. Eng. 194, No. 39--41, 4135--4195 (2005; Zbl 1151.74419) Full Text: DOI HAL
Masud, Arif; Hughes, Thomas J. R. A stabilized mixed finite element method for Darcy flow. (English) Zbl 1015.76047 Comput. Methods Appl. Mech. Eng. 191, No. 39-40, 4341-4370 (2002). MSC: 76M10 76S05 PDFBibTeX XMLCite \textit{A. Masud} and \textit{T. J. R. Hughes}, Comput. Methods Appl. Mech. Eng. 191, No. 39--40, 4341--4370 (2002; Zbl 1015.76047) Full Text: DOI
Hughes, Thomas J. R.; Stewart, James R. A space-time formulation for multiscale phenomena. (English) Zbl 0869.65061 J. Comput. Appl. Math. 74, No. 1-2, 217-229 (1996). Reviewer: H.Marcinkowska (Wrocław) MSC: 65M60 35G10 35K25 PDFBibTeX XMLCite \textit{T. J. R. Hughes} and \textit{J. R. Stewart}, J. Comput. Appl. Math. 74, No. 1--2, 217--229 (1996; Zbl 0869.65061) Full Text: DOI
Hughes, Thomas J. R. Multiscale phenomena: Green’s functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. (English) Zbl 0866.76044 Comput. Methods Appl. Mech. Eng. 127, No. 1-4, 387-401 (1995). MSC: 76M10 76M30 PDFBibTeX XMLCite \textit{T. J. R. Hughes}, Comput. Methods Appl. Mech. Eng. 127, No. 1--4, 387--401 (1995; Zbl 0866.76044) Full Text: DOI
Barbosa, Helio J. C.; Hughes, Thomas J. R. Circumventing the Babuška-Brezzi condition in mixed finite element approximations of elliptic variational inequalities. (English) Zbl 0768.65033 Comput. Methods Appl. Mech. Eng. 97, No. 2, 193-210 (1992). Reviewer: B.Burrows (Stafford) MSC: 65K10 49M15 49J40 PDFBibTeX XMLCite \textit{H. J. C. Barbosa} and \textit{T. J. R. Hughes}, Comput. Methods Appl. Mech. Eng. 97, No. 2, 193--210 (1992; Zbl 0768.65033) Full Text: DOI
Barbosa, Helio J. C.; Hughes, Thomas J. R. The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuška-Brezzi condition. (English) Zbl 0764.73077 Comput. Methods Appl. Mech. Eng. 85, No. 1, 109-128 (1991). MSC: 74S05 74S30 74P10 PDFBibTeX XMLCite \textit{H. J. C. Barbosa} and \textit{T. J. R. Hughes}, Comput. Methods Appl. Mech. Eng. 85, No. 1, 109--128 (1991; Zbl 0764.73077) Full Text: DOI
Hulbert, Gregory M.; Hughes, Thomas J. R. Space-time finite element methods for second-order hyperbolic equations. (English) Zbl 0754.73085 Comput. Methods Appl. Mech. Eng. 84, No. 3, 327-348 (1990). Reviewer: L.P.Lebedev (Rostov-na-Donu) MSC: 74S05 74K10 65M60 PDFBibTeX XMLCite \textit{G. M. Hulbert} and \textit{T. J. R. Hughes}, Comput. Methods Appl. Mech. Eng. 84, No. 3, 327--348 (1990; Zbl 0754.73085) 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
Loula, Abimael F. D.; Miranda, Isidoro; Hughes, Thomas J. R.; Franca, Leopoldo P. On mixed finite element methods for axisymmetric shell analysis. (English) Zbl 0691.73030 Comput. Methods Appl. Mech. Eng. 72, No. 2, 201-231 (1989). Reviewer: P.Narain MSC: 74S05 74K15 74S30 PDFBibTeX XMLCite \textit{A. F. D. Loula} et al., Comput. Methods Appl. Mech. Eng. 72, No. 2, 201--231 (1989; Zbl 0691.73030) Full Text: DOI
Franca, Leopoldo P.; Hughes, Thomas J. R.; Loula, Abimael F. D.; Miranda, Isidoro A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation. (English) Zbl 0656.73036 Numer. Math. 53, No. 1-2, 123-141 (1988). Reviewer: F.Chatelin MSC: 74S05 65N30 65K10 PDFBibTeX XMLCite \textit{L. P. Franca} et al., Numer. Math. 53, No. 1--2, 123--141 (1988; Zbl 0656.73036) Full Text: DOI EuDML
Franca, Leopoldo P.; Hughes, Thomas J. R. Two classes of mixed finite element methods. (English) Zbl 0629.73053 Comput. Methods Appl. Mech. Eng. 69, No. 1, 89-129 (1988). MSC: 74S05 74S30 65K10 PDFBibTeX XMLCite \textit{L. P. Franca} and \textit{T. J. R. Hughes}, Comput. Methods Appl. Mech. Eng. 69, No. 1, 89--129 (1988; Zbl 0629.73053) Full Text: DOI
Hughes, Thomas J. R.; Hulbert, Gregory M. Space-time finite element methods for elastodynamics: Formulations and error estimates. (English) Zbl 0616.73063 Comput. Methods Appl. Mech. Eng. 66, No. 3, 339-363 (1988). MSC: 74S05 65N30 65N15 65K10 PDFBibTeX XMLCite \textit{T. J. R. Hughes} and \textit{G. M. Hulbert}, Comput. Methods Appl. Mech. Eng. 66, No. 3, 339--363 (1988; Zbl 0616.73063) Full Text: DOI
Hughes, Thomas J. R.; Franca, Leopoldo P. Studies in plate flexure. I: A mixed finite element formulation for Reissner-Mindlin plate theory: Uniform convergence of all higher-order spaces. (English) Zbl 0611.73077 Comput. Methods Appl. Mech. Eng. 67, No. 2, 223-240 (1988). MSC: 74S05 74K20 74S30 PDFBibTeX XMLCite \textit{T. J. R. Hughes} and \textit{L. P. Franca}, Comput. Methods Appl. Mech. Eng. 67, No. 2, 223--240 (1988; Zbl 0611.73077) Full Text: DOI
Hughes, Thomas J. R.; Franca, Leopoldo P. A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces. (English) Zbl 0635.76067 Comput. Methods Appl. Mech. Eng. 65, 85-96 (1987). MSC: 76N10 80A20 65Z05 PDFBibTeX XMLCite \textit{T. J. R. Hughes} and \textit{L. P. Franca}, Comput. Methods Appl. Mech. Eng. 65, 85--96 (1987; Zbl 0635.76067) Full Text: DOI
Loula, Abimael F. D.; Franca, Leopoldo P.; Hughes, Thomas J. R.; Miranda, Isodora Stability, convergence, and accuracy of a new finite element method for the circular arch problem. (English) Zbl 0607.73077 Comput. Methods Appl. Mech. Eng. 63, 281-303 (1987). MSC: 74S05 65K10 74K15 65N12 65N15 PDFBibTeX XMLCite \textit{A. F. D. Loula} et al., Comput. Methods Appl. Mech. Eng. 63, 281--303 (1987; Zbl 0607.73077) Full Text: DOI
Loula, Abimael F. D.; Hughes, Thomas J. R.; Franca, Leopoldo P.; Miranda, Isidoro Mixed Petrov-Galerkin methods for the Timoshenko beam problem. (English) Zbl 0607.73076 Comput. Methods Appl. Mech. Eng. 63, 133-154 (1987). MSC: 74S05 65K10 74K10 65N12 PDFBibTeX XMLCite \textit{A. F. D. Loula} et al., Comput. Methods Appl. Mech. Eng. 63, 133--154 (1987; Zbl 0607.73076) Full Text: DOI