Ju, X.; Mahnken, R.; Xu, Y.; Liang, L. NTFA-enabled goal-oriented adaptive space-time finite elements for micro-heterogeneous elastoplasticity problems. (English) Zbl 07566978 Comput. Methods Appl. Mech. Eng. 398, Article ID 115199, 29 p. (2022). MSC: 74-XX 65-XX PDF BibTeX XML Cite \textit{X. Ju} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115199, 29 p. (2022; Zbl 07566978) Full Text: DOI OpenURL
Houston, Paul; Rourke, Connor J.; van der Zee, Kristoffer G. Linearization of the travel time functional in porous media flows. (English) Zbl 07537255 SIAM J. Sci. Comput. 44, No. 3, B531-B557 (2022). MSC: 65N50 PDF BibTeX XML Cite \textit{P. Houston} et al., SIAM J. Sci. Comput. 44, No. 3, B531--B557 (2022; Zbl 07537255) Full Text: DOI OpenURL
Yu, Peng; Bordas, Stéphane Pierre Alain; Kerfriden, Pierre Adaptive isogeometric analysis for transient dynamics: space-time refinement based on hierarchical a-posteriori error estimations. (English) Zbl 07526193 Comput. Methods Appl. Mech. Eng. 394, Article ID 114774, 35 p. (2022). MSC: 68-XX 65-XX PDF BibTeX XML Cite \textit{P. Yu} et al., Comput. Methods Appl. Mech. Eng. 394, Article ID 114774, 35 p. (2022; Zbl 07526193) Full Text: DOI OpenURL
Cockburn, Bernardo; Xia, Shiqiang An adjoint-based adaptive error approximation of functionals by the hybridizable discontinuous Galerkin method for second-order elliptic equations. (English) Zbl 07523823 J. Comput. Phys. 457, Article ID 111078, 21 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDF BibTeX XML Cite \textit{B. Cockburn} and \textit{S. Xia}, J. Comput. Phys. 457, Article ID 111078, 21 p. (2022; Zbl 07523823) Full Text: DOI OpenURL
Ju, Xiaozhe; Mahnken, Rolf; Xu, Yangjian; Liang, Lihua Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua. (English) Zbl 07492697 Comput. Mech. 69, No. 3, 847-863 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{X. Ju} et al., Comput. Mech. 69, No. 3, 847--863 (2022; Zbl 07492697) Full Text: DOI OpenURL
Becker, Roland; Innerberger, Michael; Praetorius, Dirk Optimal convergence rates for goal-oriented FEM with quadratic goal functional. (English) Zbl 1476.65290 Comput. Methods Appl. Math. 21, No. 2, 267-288 (2021). MSC: 65N30 65N12 65N50 65Y20 41A25 PDF BibTeX XML Cite \textit{R. Becker} et al., Comput. Methods Appl. Math. 21, No. 2, 267--288 (2021; Zbl 1476.65290) Full Text: DOI arXiv OpenURL
Parés, N.; Nguyen, N. C.; Díez, P.; Peraire, J. A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: application to the hybridizable discontinuous Galerkin method. (English) Zbl 07427329 Comput. Methods Appl. Mech. Eng. 386, Article ID 114088, 29 p. (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{N. Parés} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114088, 29 p. (2021; Zbl 07427329) Full Text: DOI arXiv OpenURL
Chamoin, Ludovic; Legoll, Frédéric Goal-oriented error estimation and adaptivity in MsFEM computations. (English) Zbl 1477.35258 Comput. Mech. 67, No. 4, 1201-1228 (2021); correction ibid. 68, No. 1, 229-230 (2021). MSC: 35Q74 74E30 74S05 65N30 65N15 35J15 PDF BibTeX XML Cite \textit{L. Chamoin} and \textit{F. Legoll}, Comput. Mech. 67, No. 4, 1201--1228 (2021; Zbl 1477.35258) Full Text: DOI arXiv OpenURL
Bause, Markus; Bruchhäuser, Marius Paul; Köcher, Uwe Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow. (English) Zbl 07351744 Comput. Math. Appl. 91, 17-35 (2021). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{M. Bause} et al., Comput. Math. Appl. 91, 17--35 (2021; Zbl 07351744) Full Text: DOI arXiv OpenURL
Rojas, Sergio; Pardo, David; Behnoudfar, Pouria; Calo, Victor M. Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm. (English) Zbl 07340382 Comput. Methods Appl. Mech. Eng. 377, Article ID 113686, 27 p. (2021). MSC: 65N12 65N30 76M10 PDF BibTeX XML Cite \textit{S. Rojas} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113686, 27 p. (2021; Zbl 07340382) Full Text: DOI arXiv OpenURL
Bespalov, Alex; Rocchi, Leonardo; Silvester, David T-IFISS: a toolbox for adaptive FEM computation. (English) Zbl 07288719 Comput. Math. Appl. 81, 373-390 (2021). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{A. Bespalov} et al., Comput. Math. Appl. 81, 373--390 (2021; Zbl 07288719) Full Text: DOI arXiv OpenURL
Yücel, Hamdullah Goal-oriented a posteriori error estimation for Dirichlet boundary control problems. (English) Zbl 1484.65139 J. Comput. Appl. Math. 381, Article ID 113012, 22 p. (2021). MSC: 65K10 49M25 65N30 65N15 PDF BibTeX XML Cite \textit{H. Yücel}, J. Comput. Appl. Math. 381, Article ID 113012, 22 p. (2021; Zbl 1484.65139) Full Text: DOI OpenURL
Jokanović, Dušan S. Some properties of central rigid rings. (English) Zbl 07388443 Math. Montisnigri 48, 5-9 (2020). MSC: 16S36 PDF BibTeX XML Cite \textit{D. S. Jokanović}, Math. Montisnigri 48, 5--9 (2020; Zbl 07388443) Full Text: DOI OpenURL
Dolejší, Vít; Tichý, Petr On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates. (English) Zbl 1435.65188 J. Sci. Comput. 83, No. 1, Paper No. 5, 29 p. (2020). MSC: 65N15 65N30 65F10 15A06 65N50 PDF BibTeX XML Cite \textit{V. Dolejší} and \textit{P. Tichý}, J. Sci. Comput. 83, No. 1, Paper No. 5, 29 p. (2020; Zbl 1435.65188) Full Text: DOI arXiv OpenURL
Chung, Eric; Pollock, Sara; Pun, Sai-Mang Online basis construction for goal-oriented adaptivity in the generalized multiscale finite element method. (English) Zbl 1452.65329 J. Comput. Phys. 393, 59-73 (2019). MSC: 65N30 76S05 76M10 65N55 65N15 PDF BibTeX XML Cite \textit{E. Chung} et al., J. Comput. Phys. 393, 59--73 (2019; Zbl 1452.65329) Full Text: DOI arXiv OpenURL
Ju, Xiaozhe; Mahnken, Rolf Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity. (English) Zbl 1441.74249 Comput. Methods Appl. Mech. Eng. 351, 297-329 (2019). MSC: 74S05 65M60 65M15 65M50 74C05 PDF BibTeX XML Cite \textit{X. Ju} and \textit{R. Mahnken}, Comput. Methods Appl. Mech. Eng. 351, 297--329 (2019; Zbl 1441.74249) Full Text: DOI OpenURL
Muñoz-Matute, Judit; Calo, Victor M.; Pardo, David; Alberdi, Elisabete; van der Zee, Kristoffer G. Explicit-in-time goal-oriented adaptivity. (English) Zbl 1440.65144 Comput. Methods Appl. Mech. Eng. 347, 176-200 (2019). MSC: 65M60 35K51 PDF BibTeX XML Cite \textit{J. Muñoz-Matute} et al., Comput. Methods Appl. Mech. Eng. 347, 176--200 (2019; Zbl 1440.65144) Full Text: DOI Link OpenURL
Bespalov, Alex; Praetorius, Dirk; Rocchi, Leonardo; Ruggeri, Michele Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs. (English) Zbl 1440.65184 Comput. Methods Appl. Mech. Eng. 345, 951-982 (2019). MSC: 65N30 35R60 65N15 65N50 PDF BibTeX XML Cite \textit{A. Bespalov} et al., Comput. Methods Appl. Mech. Eng. 345, 951--982 (2019; Zbl 1440.65184) Full Text: DOI arXiv OpenURL
Keith, Brendan; Astaneh, Ali Vaziri; Demkowicz, Leszek F. Goal-oriented adaptive mesh refinement for discontinuous Petrov-Galerkin methods. (English) Zbl 1422.65391 SIAM J. Numer. Anal. 57, No. 4, 1649-1676 (2019). MSC: 65N30 65N12 65N50 65N15 PDF BibTeX XML Cite \textit{B. Keith} et al., SIAM J. Numer. Anal. 57, No. 4, 1649--1676 (2019; Zbl 1422.65391) Full Text: DOI arXiv OpenURL
Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system. (English) Zbl 07465689 Optim. Eng. 19, No. 3, 629-662 (2018). MSC: 65Nxx 65Mxx 65Kxx PDF BibTeX XML Cite \textit{M. Hintermüller} et al., Optim. Eng. 19, No. 3, 629--662 (2018; Zbl 07465689) Full Text: DOI OpenURL
Maier, Matthias; Rannacher, Rolf A duality-based optimization approach for model adaptivity in heterogeneous multiscale problems. (English) Zbl 1445.35136 Multiscale Model. Simul. 16, No. 1, 412-428 (2018). MSC: 35J15 65C20 65N12 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{M. Maier} and \textit{R. Rannacher}, Multiscale Model. Simul. 16, No. 1, 412--428 (2018; Zbl 1445.35136) Full Text: arXiv OpenURL
Muñoz-Matute, Judit; Alberdi Celaya, E.; Pardo, David; Calo, Victor M. Time-domain goal-oriented adaptivity of the wave equation. (English) Zbl 1425.65101 Dogbe, Christian (ed.), Actes du colloque “EDP-Normandie”, Caen, France, Octobre 25–26, 2017. Normandie-Mathématiques. [s.l.]: Fédération Normandie-Mathématiques. 145-149 (2018). MSC: 65M50 65M60 35L05 PDF BibTeX XML Cite \textit{J. Muñoz-Matute} et al., in: Actes du colloque ``EDP-Normandie'', Caen, France, Octobre 25--26, 2017. [s.l.]: Fédération Normandie-Mathématiques. 145--149 (2018; Zbl 1425.65101) OpenURL
Chamoin, Ludovic; Pled, Florent; Allier, Pierre-Eric; Ladevèze, Pierre A posteriori error estimation and adaptive strategy for PGD model reduction applied to parametrized linear parabolic problems. (English) Zbl 1439.65108 Comput. Methods Appl. Mech. Eng. 327, 118-146 (2017). MSC: 65M60 65M15 PDF BibTeX XML Cite \textit{L. Chamoin} et al., Comput. Methods Appl. Mech. Eng. 327, 118--146 (2017; Zbl 1439.65108) Full Text: DOI arXiv OpenURL
Muñoz-Matute, Judit; Alberdi, Elisabete; Pardo, David; Calo, Victor M. Time-domain goal-oriented adaptivity using pseudo-dual error representations. (English) Zbl 1439.65118 Comput. Methods Appl. Mech. Eng. 325, 395-415 (2017). MSC: 65M60 35L20 65M20 65M50 PDF BibTeX XML Cite \textit{J. Muñoz-Matute} et al., Comput. Methods Appl. Mech. Eng. 325, 395--415 (2017; Zbl 1439.65118) Full Text: DOI Link OpenURL
Abdelmalik, M. R. A.; van Brummelen, E. H. Error estimation and adaptive moment hierarchies for goal-oriented approximations of the Boltzmann equation. (English) Zbl 1439.76144 Comput. Methods Appl. Mech. Eng. 325, 219-239 (2017). MSC: 76P05 65N30 35A35 35Q20 76M10 PDF BibTeX XML Cite \textit{M. R. A. Abdelmalik} and \textit{E. H. van Brummelen}, Comput. Methods Appl. Mech. Eng. 325, 219--239 (2017; Zbl 1439.76144) Full Text: DOI arXiv OpenURL
Chung, Eric; Pollock, Sara; Pun, Sai-Mang Goal-oriented adaptivity of mixed GMsFEM for flows in heterogeneous media. (English) Zbl 1433.76076 Comput. Methods Appl. Mech. Eng. 323, 151-173 (2017). MSC: 76M10 76S05 65N30 65N50 74E05 PDF BibTeX XML Cite \textit{E. Chung} et al., Comput. Methods Appl. Mech. Eng. 323, 151--173 (2017; Zbl 1433.76076) Full Text: DOI OpenURL
Ju, X.; Mahnken, R. Model adaptivity on effective elastic properties coupled with adaptive FEM. (English) Zbl 1439.74428 Comput. Methods Appl. Mech. Eng. 322, 208-237 (2017). MSC: 74S05 65N30 74B05 PDF BibTeX XML Cite \textit{X. Ju} and \textit{R. Mahnken}, Comput. Methods Appl. Mech. Eng. 322, 208--237 (2017; Zbl 1439.74428) Full Text: DOI OpenURL
Mitscha-Baude, Gregor; Buttinger-Kreuzhuber, Andreas; Tulzer, Gerhard; Heitzinger, Clemens Adaptive and iterative methods for simulations of nanopores with the PNP-Stokes equations. (English) Zbl 1415.65262 J. Comput. Phys. 338, 452-476 (2017). MSC: 65N30 65Z05 82D80 PDF BibTeX XML Cite \textit{G. Mitscha-Baude} et al., J. Comput. Phys. 338, 452--476 (2017; Zbl 1415.65262) Full Text: DOI arXiv OpenURL
Hanuš, M.; McClarren, R. G. On the use of symmetrized transport equation in goal-oriented adaptivity. (English) Zbl 07503209 J. Comput. Theor. Transp. 45, No. 4, 314-333 (2016). MSC: 82-XX PDF BibTeX XML Cite \textit{M. Hanuš} and \textit{R. G. McClarren}, J. Comput. Theor. Transp. 45, No. 4, 314--333 (2016; Zbl 07503209) Full Text: DOI OpenURL
Günther, Andreas; Tber, Moulay Hicham A goal-oriented adaptive Moreau-Yosida algorithm for control- and state-constrained elliptic control problems. (English) Zbl 07405057 Adv. Appl. Math. Mech. 8, No. 3, 426-448 (2016). MSC: 49M15 49J20 49K20 65K10 65N50 90C53 PDF BibTeX XML Cite \textit{A. Günther} and \textit{M. H. Tber}, Adv. Appl. Math. Mech. 8, No. 3, 426--448 (2016; Zbl 07405057) Full Text: DOI Link OpenURL
Widany, K.-U.; Mahnken, R. Dual-based adaptive FEM for inelastic problems with standard FE implementations. (English) Zbl 1352.74447 Int. J. Numer. Methods Eng. 107, No. 2, 127-154 (2016). MSC: 74S05 65M60 PDF BibTeX XML Cite \textit{K. U. Widany} and \textit{R. Mahnken}, Int. J. Numer. Methods Eng. 107, No. 2, 127--154 (2016; Zbl 1352.74447) Full Text: DOI OpenURL
Maier, Matthias; Rannacher, Rolf Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. (English) Zbl 1351.65090 J. Numer. Math. 24, No. 3, 167-187 (2016). MSC: 65N30 65N12 65N15 65N50 65N55 35J25 PDF BibTeX XML Cite \textit{M. Maier} and \textit{R. Rannacher}, J. Numer. Math. 24, No. 3, 167--187 (2016; Zbl 1351.65090) Full Text: DOI OpenURL
Feischl, Michael; Praetorius, Dirk; van der Zee, Kristoffer G. An abstract analysis of optimal goal-oriented adaptivity. (English) Zbl 1382.65392 SIAM J. Numer. Anal. 54, No. 3, 1423-1448 (2016). MSC: 65N30 65N50 65Y20 PDF BibTeX XML Cite \textit{M. Feischl} et al., SIAM J. Numer. Anal. 54, No. 3, 1423--1448 (2016; Zbl 1382.65392) Full Text: DOI arXiv OpenURL
Chung, Eric T.; Leung, Wing Tat; Pollock, Sara Goal-oriented adaptivity for GMsFEM. (English) Zbl 1342.65215 J. Comput. Appl. Math. 296, 625-637 (2016). MSC: 65N30 65N50 65N15 PDF BibTeX XML Cite \textit{E. T. Chung} et al., J. Comput. Appl. Math. 296, 625--637 (2016; Zbl 1342.65215) Full Text: DOI arXiv OpenURL
Darrigrand, Vincent; Pardo, David; Muga, Ignacio Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation. (English) Zbl 1443.65322 Comput. Math. Appl. 69, No. 9, 964-979 (2015). MSC: 65N30 65N50 78A25 PDF BibTeX XML Cite \textit{V. Darrigrand} et al., Comput. Math. Appl. 69, No. 9, 964--979 (2015; Zbl 1443.65322) Full Text: DOI OpenURL
Verhoosel, C. V.; van Zwieten, G. J.; van Rietbergen, B.; de Borst, R. Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone. (English) Zbl 1423.74929 Comput. Methods Appl. Mech. Eng. 284, 138-164 (2015). MSC: 74S05 65N30 65D17 65N50 74M25 92C10 PDF BibTeX XML Cite \textit{C. V. Verhoosel} et al., Comput. Methods Appl. Mech. Eng. 284, 138--164 (2015; Zbl 1423.74929) Full Text: DOI Link OpenURL
Cliffe, K. A.; Collis, J.; Houston, P. Goal-oriented a posteriori error estimation for the travel time functional in porous media flows. (English) Zbl 1320.76066 SIAM J. Sci. Comput. 37, No. 2, B127-B152 (2015). MSC: 76M10 76S05 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{K. A. Cliffe} et al., SIAM J. Sci. Comput. 37, No. 2, B127--B152 (2015; Zbl 1320.76066) Full Text: DOI Link OpenURL
Memarnahavandi, Arash; Larsson, Fredrik; Runesson, Kenneth A goal-oriented adaptive procedure for the quasi-continuum method with cluster approximation. (English) Zbl 1334.74083 Comput. Mech. 55, No. 4, 617-642 (2015). MSC: 74S05 74A25 74E15 65N30 PDF BibTeX XML Cite \textit{A. Memarnahavandi} et al., Comput. Mech. 55, No. 4, 617--642 (2015; Zbl 1334.74083) Full Text: DOI OpenURL
Gonçalves, João L.; Gomes, Sônia M.; Devloo, Philippe R. B. A goal-oriented \(hp\)-adaptive discontinuous Galerkin approach for biharmonic problems. (English) Zbl 1352.65504 Int. J. Numer. Methods Eng. 97, No. 4, 274-297 (2014). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{J. L. Gonçalves} et al., Int. J. Numer. Methods Eng. 97, No. 4, 274--297 (2014; Zbl 1352.65504) Full Text: DOI OpenURL
Rannacher, Rolf Model reduction by adaptive discretization in optimal control. (English) Zbl 1320.49017 Leugering, Günter (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). ISNM. International Series of Numerical Mathematics 165, 251-284 (2014). MSC: 49M25 49J20 49M05 49M15 49M29 65K10 65M50 65M60 65N22 65N30 65N50 PDF BibTeX XML Cite \textit{R. Rannacher}, ISNM, Int. Ser. Numer. Math. 165, 251--284 (2014; Zbl 1320.49017) Full Text: DOI OpenURL
Verdugo, Francesc; Parés, Núria; Díez, Pedro Goal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solution. (English) Zbl 1398.74415 Comput. Mech. 54, No. 2, 331-352 (2014). MSC: 74S05 65N30 65N15 65M60 65M15 PDF BibTeX XML Cite \textit{F. Verdugo} et al., Comput. Mech. 54, No. 2, 331--352 (2014; Zbl 1398.74415) Full Text: DOI Link OpenURL
González-Estrada, O. A.; Nadal, E.; Ródenas, J. J.; Kerfriden, P.; Bordas, S. P. A.; Fuenmayor, F. J. Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery. (English) Zbl 1398.74332 Comput. Mech. 53, No. 5, 957-976 (2014). MSC: 74S05 65N30 65N15 74R10 74B05 PDF BibTeX XML Cite \textit{O. A. González-Estrada} et al., Comput. Mech. 53, No. 5, 957--976 (2014; Zbl 1398.74332) Full Text: DOI arXiv Link OpenURL
Mahnken, R. Goal-oriented adaptive refinement for phase field modeling with finite elements. (English) Zbl 1352.80010 Int. J. Numer. Methods Eng. 94, No. 4, 418-440 (2013). MSC: 80M10 65M60 80A22 PDF BibTeX XML Cite \textit{R. Mahnken}, Int. J. Numer. Methods Eng. 94, No. 4, 418--440 (2013; Zbl 1352.80010) Full Text: DOI OpenURL
Parés, Núria; Díez, Pedro; Huerta, Antonio Computable exact bounds for linear outputs from stabilized solutions of the advection-diffusion-reaction equation. (English) Zbl 1352.65533 Int. J. Numer. Methods Eng. 93, No. 5, 483-509 (2013). MSC: 65N30 65N12 PDF BibTeX XML Cite \textit{N. Parés} et al., Int. J. Numer. Methods Eng. 93, No. 5, 483--509 (2013; Zbl 1352.65533) Full Text: DOI Link OpenURL
Besier, Michael; Rannacher, Rolf Goal-oriented space-time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow. (English) Zbl 1412.76060 Int. J. Numer. Methods Fluids 70, No. 9, 1139-1166 (2012). MSC: 76M10 65M50 65M60 PDF BibTeX XML Cite \textit{M. Besier} and \textit{R. Rannacher}, Int. J. Numer. Methods Fluids 70, No. 9, 1139--1166 (2012; Zbl 1412.76060) Full Text: DOI OpenURL
Rannacher, Rolf; Vexler, Boris; Wollner, Winnifried A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints. (English) Zbl 1356.49052 Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 349-373 (2012). MSC: 49M25 65N30 65K10 90C59 PDF BibTeX XML Cite \textit{R. Rannacher} et al., ISNM, Int. Ser. Numer. Math. 160, 349--373 (2012; Zbl 1356.49052) Full Text: DOI OpenURL
Günther, Andreas; Hinze, Michael; Tber, Moulay Hicham A posteriori error representations for elliptic optimal control problems with control and state constraints. (English) Zbl 1356.49056 Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 303-317 (2012). MSC: 49M30 49J20 65N30 65N50 PDF BibTeX XML Cite \textit{A. Günther} et al., ISNM, Int. Ser. Numer. Math. 160, 303--317 (2012; Zbl 1356.49056) Full Text: DOI OpenURL
Florentin, Eric; Díez, Pedro Adaptive reduced basis strategy based on goal oriented error assessment for stochastic problems. (English) Zbl 1253.74005 Comput. Methods Appl. Mech. Eng. 225-228, 116-127 (2012). MSC: 74A40 74S05 65C05 65N50 74B05 PDF BibTeX XML Cite \textit{E. Florentin} and \textit{P. Díez}, Comput. Methods Appl. Mech. Eng. 225--228, 116--127 (2012; Zbl 1253.74005) Full Text: DOI Link OpenURL
Giani, Stefano; Grubišić, Luka; Ovall, Jeffrey S. Benchmark results for testing adaptive finite element eigenvalue procedures. (English) Zbl 1236.65141 Appl. Numer. Math. 62, No. 2, 121-140 (2012). Reviewer: Petr Sváček (Praha) MSC: 65N25 65N30 35P15 35R05 PDF BibTeX XML Cite \textit{S. Giani} et al., Appl. Numer. Math. 62, No. 2, 121--140 (2012; Zbl 1236.65141) Full Text: DOI Link OpenURL
Becker, Roland; Estecahandy, Elodie; Trujillo, David Weighted marking for goal-oriented adaptive finite element methods. (English) Zbl 1245.65155 SIAM J. Numer. Anal. 49, No. 6, 2451-2469 (2011). Reviewer: Pavel Burda (Praha) MSC: 65N30 65N12 65N15 65N50 35J25 PDF BibTeX XML Cite \textit{R. Becker} et al., SIAM J. Numer. Anal. 49, No. 6, 2451--2469 (2011; Zbl 1245.65155) Full Text: DOI OpenURL
Steffens, Lindaura Maria; Parés, Núria; Díez, Pedro Goal-oriented \(h\)-adaptivity for the Helmholtz equation: error estimates, local indicators and refinement strategies. (English) Zbl 1398.76208 Comput. Mech. 47, No. 6, 681-699 (2011). MSC: 76Q05 65N30 65N15 76M10 74S05 PDF BibTeX XML Cite \textit{L. M. Steffens} et al., Comput. Mech. 47, No. 6, 681--699 (2011; Zbl 1398.76208) Full Text: DOI OpenURL
Johansson, Håkan; Larsson, Fredrik; Runesson, Kenneth Application-specific error control for parameter identification problems. (English) Zbl 1469.74054 Int. J. Numer. Methods Biomed. Eng. 27, No. 4, 608-618 (2011). MSC: 74G75 74D99 74S99 PDF BibTeX XML Cite \textit{H. Johansson} et al., Int. J. Numer. Methods Biomed. Eng. 27, No. 4, 608--618 (2011; Zbl 1469.74054) Full Text: DOI OpenURL
Pardo, David; Nam, Myung Jin; Torres-Verdín, Carlos; Hoversten, Michael G.; Garay, Iñaki Simulation of marine controlled source electromagnetic measurements using a parallel Fourier \(hp\)-finite element method. (English) Zbl 1209.86006 Comput. Geosci. 15, No. 1, 53-67 (2011). MSC: 86-08 76M12 PDF BibTeX XML Cite \textit{D. Pardo} et al., Comput. Geosci. 15, No. 1, 53--67 (2011; Zbl 1209.86006) Full Text: DOI OpenURL
Almeida, Regina C.; Oden, J. Tinsley Solution verification, goal-oriented adaptive methods for stochastic advection-diffusion problems. (English) Zbl 1231.76239 Comput. Methods Appl. Mech. Eng. 199, No. 37-40, 2472-2486 (2010). MSC: 76M35 76R99 PDF BibTeX XML Cite \textit{R. C. Almeida} and \textit{J. T. Oden}, Comput. Methods Appl. Mech. Eng. 199, No. 37--40, 2472--2486 (2010; Zbl 1231.76239) Full Text: DOI OpenURL
Hintermüller, Michael; Hoppe, Ronald H. W. Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations. (English) Zbl 1208.49025 SIAM J. Control Optim. 48, No. 8, 5468-5487 (2010). MSC: 49K20 65K10 65N30 65N50 49M25 90C46 PDF BibTeX XML Cite \textit{M. Hintermüller} and \textit{R. H. W. Hoppe}, SIAM J. Control Optim. 48, No. 8, 5468--5487 (2010; Zbl 1208.49025) Full Text: DOI Link OpenURL
Rannacher, Rolf; Vexler, Boris Adaptive finite element discretization in PDE-based optimization. (English) Zbl 1207.49023 GAMM-Mitt. 33, No. 2, 177-193 (2010). MSC: 49K20 49M15 65M50 65N50 PDF BibTeX XML Cite \textit{R. Rannacher} and \textit{B. Vexler}, GAMM-Mitt. 33, No. 2, 177--193 (2010; Zbl 1207.49023) Full Text: DOI OpenURL
Pereira, O. J. B. Almeida; de Almeida, J. P. Moitinho Dual adaptive finite element refinement for multiple local quantities in linear elastostatics. (English) Zbl 1193.74156 Int. J. Numer. Methods Eng. 83, No. 3, 347-365 (2010). MSC: 74S05 74B05 PDF BibTeX XML Cite \textit{O. J. B. A. Pereira} and \textit{J. P. M. de Almeida}, Int. J. Numer. Methods Eng. 83, No. 3, 347--365 (2010; Zbl 1193.74156) Full Text: DOI OpenURL
Materna, Daniel; Barthold, Franz-Joseph Goal-oriented \(r\)-adaptivity based on variational arguments in the physical and material spaces. (English) Zbl 1230.74191 Comput. Methods Appl. Mech. Eng. 198, No. 41-44, 3335-3351 (2009). MSC: 74S05 74B20 74G65 PDF BibTeX XML Cite \textit{D. Materna} and \textit{F.-J. Barthold}, Comput. Methods Appl. Mech. Eng. 198, No. 41--44, 3335--3351 (2009; Zbl 1230.74191) Full Text: DOI OpenURL
Prudhomme, Serge; Chamoin, Ludovic; Ben Dhia, Hachmi; Bauman, Paul T. An adaptive strategy for the control of modeling error in two-dimensional atomic-to-continuum coupling simulations. (English) Zbl 1227.74089 Comput. Methods Appl. Mech. Eng. 198, No. 21-26, 1887-1901 (2009). MSC: 74S05 74A25 65N15 PDF BibTeX XML Cite \textit{S. Prudhomme} et al., Comput. Methods Appl. Mech. Eng. 198, No. 21--26, 1887--1901 (2009; Zbl 1227.74089) Full Text: DOI OpenURL
Steffens, Lindaura Maria; Díez, Pedro A simple strategy to assess the error in the numerical wave number of the finite element solution of the Helmholtz equation. (English) Zbl 1227.76041 Comput. Methods Appl. Mech. Eng. 198, No. 15-16, 1389-1400 (2009). MSC: 76M10 76Q05 PDF BibTeX XML Cite \textit{L. M. Steffens} and \textit{P. Díez}, Comput. Methods Appl. Mech. Eng. 198, No. 15--16, 1389--1400 (2009; Zbl 1227.76041) Full Text: DOI Link OpenURL
Bermejo, R.; Carpio, J. A space-time adaptive finite element algorithm based on dual weighted residual methodology for parabolic equations. (English) Zbl 1200.65079 SIAM J. Sci. Comput. 31, No. 5, 3324-3355 (2009). MSC: 65M60 65M15 35K58 PDF BibTeX XML Cite \textit{R. Bermejo} and \textit{J. Carpio}, SIAM J. Sci. Comput. 31, No. 5, 3324--3355 (2009; Zbl 1200.65079) Full Text: DOI OpenURL
Parés, Núria; Díez, Pedro; Huerta, Antonio Exact bounds for linear outputs of the advection-diffusion-reaction equation using flux-free error estimates. (English) Zbl 1195.65157 SIAM J. Sci. Comput. 31, No. 4, 3064-3089 (2009). MSC: 65N15 65N30 35J25 PDF BibTeX XML Cite \textit{N. Parés} et al., SIAM J. Sci. Comput. 31, No. 4, 3064--3089 (2009; Zbl 1195.65157) Full Text: DOI Link OpenURL
Meidner, D.; Rannacher, R.; Vihharev, J. Goal-oriented error control of the iterative solution of finite element equations. (English) Zbl 1169.65340 J. Numer. Math. 17, No. 2, 143-172 (2009). MSC: 65N15 65N30 35J05 76D07 65K10 76M10 49N10 65F10 PDF BibTeX XML Cite \textit{D. Meidner} et al., J. Numer. Math. 17, No. 2, 143--172 (2009; Zbl 1169.65340) Full Text: DOI OpenURL
Vidal, Yolanda; Parés, Núria; Díez, Pedro; Huerta, Antonio Bounds for quantities of interest and adaptivity in the element-free Galerkin method. (English) Zbl 1195.65175 Int. J. Numer. Methods Eng. 76, No. 11, 1782-1818 (2008). MSC: 65N30 65N15 76M25 76R99 PDF BibTeX XML Cite \textit{Y. Vidal} et al., Int. J. Numer. Methods Eng. 76, No. 11, 1782--1818 (2008; Zbl 1195.65175) Full Text: DOI Link OpenURL
Parés, Núria; Díez, Pedro; Huerta, Antonio Bounds of functional outputs for parabolic problems. II: Bounds of the exact solution. (English) Zbl 1194.65110 Comput. Methods Appl. Mech. Eng. 197, No. 19-20, 1661-1679 (2008). MSC: 65M15 PDF BibTeX XML Cite \textit{N. Parés} et al., Comput. Methods Appl. Mech. Eng. 197, No. 19--20, 1661--1679 (2008; Zbl 1194.65110) Full Text: DOI OpenURL
Parés, Núria; Díez, Pedro; Huerta, Antonio Bounds of functional outputs for parabolic problems. I: Exact bounds of the discontinuous Galerkin time discretization. (English) Zbl 1194.65109 Comput. Methods Appl. Mech. Eng. 197, No. 19-20, 1641-1660 (2008). MSC: 65M15 65M60 PDF BibTeX XML Cite \textit{N. Parés} et al., Comput. Methods Appl. Mech. Eng. 197, No. 19--20, 1641--1660 (2008; Zbl 1194.65109) Full Text: DOI OpenURL
Pardo, D.; Torres-Verdín, C.; Nam, M. J.; Paszynski, M.; Calo, V. M. Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D alternating current borehole resistivity measurements. (English) Zbl 1194.78068 Comput. Methods Appl. Mech. Eng. 197, No. 45-48, 3836-3849 (2008). MSC: 78M25 78M10 78A55 PDF BibTeX XML Cite \textit{D. Pardo} et al., Comput. Methods Appl. Mech. Eng. 197, No. 45--48, 3836--3849 (2008; Zbl 1194.78068) Full Text: DOI OpenURL
Pardo, D.; Calo, V. M.; Torres-Verdín, C.; Nam, M. J. Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D-DC borehole resistivity measurements. (English) Zbl 1194.78067 Comput. Methods Appl. Mech. Eng. 197, No. 21-24, 1906-1925 (2008). MSC: 78M25 78M10 78A55 PDF BibTeX XML Cite \textit{D. Pardo} et al., Comput. Methods Appl. Mech. Eng. 197, No. 21--24, 1906--1925 (2008; Zbl 1194.78067) Full Text: DOI OpenURL
Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Michler, C. PML enhanced with a self-adaptive goal-oriented \(hp\)-finite element method: Simulation of through-casing borehole resistivity measurements. (English) Zbl 1185.78019 SIAM J. Sci. Comput. 30, No. 6, 2948-2964 (2008). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78M10 65M60 78A45 86A25 PDF BibTeX XML Cite \textit{D. Pardo} et al., SIAM J. Sci. Comput. 30, No. 6, 2948--2964 (2008; Zbl 1185.78019) Full Text: DOI OpenURL
Hintermüller, M.; Hoppe, R. H. W. Goal-oriented adaptivity in control constrained optimal control of partial differential equations. (English) Zbl 1167.49029 SIAM J. Control Optim. 47, No. 4, 1721-1743 (2008). MSC: 49M25 65K10 65N30 65N50 35J15 PDF BibTeX XML Cite \textit{M. Hintermüller} and \textit{R. H. W. Hoppe}, SIAM J. Control Optim. 47, No. 4, 1721--1743 (2008; Zbl 1167.49029) Full Text: DOI Link OpenURL
Günther, A.; Hinze, M. A posteriori error control of a state constrained elliptic control problem. (English) Zbl 1161.65049 J. Numer. Math. 16, No. 4, 307-322 (2008). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65K10 49J20 49M25 PDF BibTeX XML Cite \textit{A. Günther} and \textit{M. Hinze}, J. Numer. Math. 16, No. 4, 307--322 (2008; Zbl 1161.65049) Full Text: DOI OpenURL
Parés, Núria; Díez, Pedro; Huerta, Antonio Exact bounds for linear outputs of the convection-diffusion-reaction equation using flux-free error estimates. (English) Zbl 1158.65344 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations IV. Papers based on the presentations at the 4th international workshop, Bonn, Germany, September 17–20, 2007. Berlin: Springer (ISBN 978-3-540-79993-1/pbk). Lecture Notes in Computational Science and Engineering 65, 215-230 (2008). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{N. Parés} et al., Lect. Notes Comput. Sci. Eng. 65, 215--230 (2008; Zbl 1158.65344) Full Text: DOI OpenURL
Pardo, D.; Torres-Verdín, C.; Paszynski, M. Simulations of 3D DC borehole resistivity measurements with a goal-oriented \(hp\) finite-element method. Part II: Through-casing resistivity instruments. (English) Zbl 1148.78303 Comput. Geosci. 12, No. 1, 83-89 (2008). MSC: 78A30 78M10 PDF BibTeX XML Cite \textit{D. Pardo} et al., Comput. Geosci. 12, No. 1, 83--89 (2008; Zbl 1148.78303) Full Text: DOI OpenURL
Pardo, David; García-Castillo, Luis E.; Demkowicz, Leszek F.; Torres-Verdín, Carlos A two-dimensional self-adaptive \(hp\) finite element method for the characterization of waveguide discontinuities. II: Goal-oriented \(hp\)-adaptivity. (English) Zbl 1173.78321 Comput. Methods Appl. Mech. Eng. 196, No. 49-52, 4811-4822 (2007). MSC: 78M10 78A50 PDF BibTeX XML Cite \textit{D. Pardo} et al., Comput. Methods Appl. Mech. Eng. 196, No. 49--52, 4811--4822 (2007; Zbl 1173.78321) Full Text: DOI OpenURL
Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Paszynski, M. A self-adaptive goal-oriented \(hp\)-finite element method with electromagnetic applications. II: Electrodynamics. (English) Zbl 1173.78320 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3585-3597 (2007). MSC: 78M10 PDF BibTeX XML Cite \textit{D. Pardo} et al., Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3585--3597 (2007; Zbl 1173.78320) Full Text: DOI OpenURL
Billade, Nilesh; Vemaganti, Kumar Hierarchical models of thin elastic structures: overview and recent advances in error estimation and adaptivity. (English) Zbl 1173.74400 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3508-3523 (2007). MSC: 74S05 74K99 PDF BibTeX XML Cite \textit{N. Billade} and \textit{K. Vemaganti}, Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3508--3523 (2007; Zbl 1173.74400) Full Text: DOI OpenURL
Díez, Pedro; Calderón, Giovanni Remeshing criteria and proper error representations for goal oriented \(h\)-adaptivity. (English) Zbl 1120.74815 Comput. Methods Appl. Mech. Eng. 196, No. 4-6, 719-733 (2007). MSC: 74S05 74B05 80M10 PDF BibTeX XML Cite \textit{P. Díez} and \textit{G. Calderón}, Comput. Methods Appl. Mech. Eng. 196, No. 4--6, 719--733 (2007; Zbl 1120.74815) Full Text: DOI OpenURL
Sudarshan, R.; Amaratunga, K.; Grätsch, T. A combined approach for goal-oriented error estimation and adaptivity using operator-customized finite element wavelets. (English) Zbl 1110.74857 Int. J. Numer. Methods Eng. 66, No. 6, 1002-1035 (2006). MSC: 74S05 74K20 65T60 PDF BibTeX XML Cite \textit{R. Sudarshan} et al., Int. J. Numer. Methods Eng. 66, No. 6, 1002--1035 (2006; Zbl 1110.74857) Full Text: DOI OpenURL
Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Paszynski, M. Two-dimensional high-accuracy simulation of resistivity logging-while-drilling (LWD) measurement using a self-adaptive goal-oriented \(hp\)-finite element method. (English) Zbl 1116.78014 SIAM J. Appl. Math. 66, No. 6, 2085-2106 (2006). Reviewer: Nina Shokina (Stuttgart) MSC: 78A55 78A25 78M10 65N50 PDF BibTeX XML Cite \textit{D. Pardo} et al., SIAM J. Appl. Math. 66, No. 6, 2085--2106 (2006; Zbl 1116.78014) Full Text: DOI OpenURL
Perotto, Simona Adaptive modeling for free-surface flows. (English) Zbl 1160.76319 ESAIM, Math. Model. Numer. Anal. 40, No. 3, 469-499 (2006). MSC: 76B07 65M60 76M25 86A05 PDF BibTeX XML Cite \textit{S. Perotto}, ESAIM, Math. Model. Numer. Anal. 40, No. 3, 469--499 (2006; Zbl 1160.76319) Full Text: DOI Numdam EuDML OpenURL
Paszyński, M.; Demkowicz, L.; Pardo, D. Verification of goal-oriented hp-adaptivity. (English) Zbl 1138.78314 Comput. Math. Appl. 50, No. 8-9, 1395-1404 (2005). MSC: 78A50 78M25 PDF BibTeX XML Cite \textit{M. Paszyński} et al., Comput. Math. Appl. 50, No. 8--9, 1395--1404 (2005; Zbl 1138.78314) Full Text: DOI OpenURL
Zdunek, A.; Rachowicz, W. A goal-oriented \(hp\)-adaptive finite element approach to radar scattering problems. (English) Zbl 1063.78024 Comput. Methods Appl. Mech. Eng. 194, No. 2-5, 657-674 (2005). MSC: 78M10 78A25 78A45 78A60 PDF BibTeX XML Cite \textit{A. Zdunek} and \textit{W. Rachowicz}, Comput. Methods Appl. Mech. Eng. 194, No. 2--5, 657--674 (2005; Zbl 1063.78024) Full Text: DOI OpenURL
Stein, Erwin; Rüter, Marcus; Ohnimus, Stephan Adaptive finite element analysis and modelling of solids and structures. findings, problems and trends. (English) Zbl 1060.74642 Int. J. Numer. Methods Eng. 60, No. 1, 103-138 (2004). MSC: 74S05 65N50 PDF BibTeX XML Cite \textit{E. Stein} et al., Int. J. Numer. Methods Eng. 60, No. 1, 103--138 (2004; Zbl 1060.74642) Full Text: DOI OpenURL
Šolín, P.; Demkowicz, L. Goal-oriented \(hp\)-adaptivity for elliptic problems. (English) Zbl 1044.65082 Comput. Methods Appl. Mech. Eng. 193, No. 6-8, 449-468 (2004). MSC: 65N30 35J05 35Q60 78A40 78A50 78M10 PDF BibTeX XML Cite \textit{P. Šolín} and \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 193, No. 6--8, 449--468 (2004; Zbl 1044.65082) Full Text: DOI OpenURL
Díez, Pedro; Morata, Irene; Huerta, Antonio Goal-oriented adaptivity for shell structures. Error assessment and remeshing criteria. (English) Zbl 1171.74439 Rev. Eur. Élém. Finis 12, No. 6, 691-715 (2003). MSC: 74S05 74K25 PDF BibTeX XML Cite \textit{P. Díez} et al., Rev. Eur. Élém. Finis 12, No. 6, 691--715 (2003; Zbl 1171.74439) Full Text: DOI OpenURL
Ingelström, P.; Bondeson, A. Goal-oriented error estimation and \(h\)-adaptivity for Maxwell’s equations. (English) Zbl 1054.78026 Comput. Methods Appl. Mech. Eng. 192, No. 22-24, 2597-2616 (2003). Reviewer: Ulrich Langer (Linz) MSC: 78M10 78A50 78A25 65N30 65N15 PDF BibTeX XML Cite \textit{P. Ingelström} and \textit{A. Bondeson}, Comput. Methods Appl. Mech. Eng. 192, No. 22--24, 2597--2616 (2003; Zbl 1054.78026) Full Text: DOI OpenURL
Walsh, Timothy; Demkowicz, Leszek \(hp\) boundary element modeling of the external human auditory system – goal-oriented adaptivity with multiple load vectors. (English) Zbl 1083.76561 Comput. Methods Appl. Mech. Eng. 192, No. 1-2, 125-146 (2003). MSC: 76M15 76Q05 92C10 PDF BibTeX XML Cite \textit{T. Walsh} and \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 192, No. 1--2, 125--146 (2003; Zbl 1083.76561) Full Text: DOI OpenURL
Oden, J. T.; Prudhomme, S. Goal-oriented error estimation and adaptivity for the finite element method. (English) Zbl 0987.65110 Comput. Math. Appl. 41, No. 5-6, 735-756 (2001). Reviewer: Prabhat Kumar Mahanti (New Brunswick) MSC: 65N15 65N30 35J25 PDF BibTeX XML Cite \textit{J. T. Oden} and \textit{S. Prudhomme}, Comput. Math. Appl. 41, No. 5--6, 735--756 (2001; Zbl 0987.65110) Full Text: DOI OpenURL