Brenner, Susanne C.; Jeong, SeongHee; Sung, Li-yeng; Tan, Zhiyu \(C^0\) Interior penalty methods for an elliptic distributed optimal control problem with general tracking and pointwise state constraints. (English) Zbl 07801613 Comput. Math. Appl. 155, 80-90 (2024). MSC: 65-XX 49-XX PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Comput. Math. Appl. 155, 80--90 (2024; Zbl 07801613) Full Text: DOI
Brenner, Susanne C.; Gedicke, Joscha; Sung, Li-Yeng A symmetric interior penalty method for an elliptic distributed optimal control problem with pointwise state constraints. (English) Zbl 07723602 Comput. Methods Appl. Math. 23, No. 3, 565-589 (2023). Reviewer: Zijia Peng (Nanning) MSC: 49J40 49M41 65K15 65N30 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Comput. Methods Appl. Math. 23, No. 3, 565--589 (2023; Zbl 07723602) Full Text: DOI
Brenner, Susanne C.; Sung, Li-Yeng An interior maximum norm error estimate for the symmetric interior penalty method on planar polygonal domains. (English) Zbl 1512.65259 Comput. Methods Appl. Math. 23, No. 1, 49-63 (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{L.-Y. Sung}, Comput. Methods Appl. Math. 23, No. 1, 49--63 (2023; Zbl 1512.65259) Full Text: DOI
Brenner, Susanne C.; Sung, Li-Yeng; Tan, Zhiyu A \(C^1\) virtual element method for an elliptic distributed optimal control problem with pointwise state constraints. (English) Zbl 1478.65115 Math. Models Methods Appl. Sci. 31, No. 14, 2887-2906 (2021). MSC: 65N30 49J40 49M25 49M41 65K10 65K15 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Math. Models Methods Appl. Sci. 31, No. 14, 2887--2906 (2021; Zbl 1478.65115) Full Text: DOI
Brenner, Susanne C.; Liu, Sijing; Sung, Li-Yeng A \(P_1\) finite element method for a distributed elliptic optimal control problem with a general state equation and pointwise state constraints. (English) Zbl 1476.65293 Comput. Methods Appl. Math. 21, No. 4, 777-790 (2021). MSC: 65N30 65K15 90C20 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Comput. Methods Appl. Math. 21, No. 4, 777--790 (2021; Zbl 1476.65293) Full Text: DOI
Brenner, Susanne C.; Sung, Li-yeng; Tan, Zhiyu; Zhang, Hongchao A convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on convex polygonal domains. (English) Zbl 1477.65194 Numer. Math. 148, No. 3, 497-524 (2021). MSC: 65N30 65K10 65N15 35G30 35J96 90C06 90C26 35D30 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Math. 148, No. 3, 497--524 (2021; Zbl 1477.65194) Full Text: DOI
Brenner, Susanne C.; Sung, Li-yeng; Tan, Zhiyu A cubic \(C^{\mathbf{0}}\) interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints. (English) Zbl 1464.49021 Results Appl. Math. 7, Article ID 100119, 19 p. (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 49N10 49J40 65K10 65N15 65N30 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Results Appl. Math. 7, Article ID 100119, 19 p. (2020; Zbl 1464.49021) Full Text: DOI
Brenner, Susanne C. Finite element methods for elliptic distributed optimal control problems with pointwise state constraints (survey). (English) Zbl 1440.49037 Acu, Bahar (ed.) et al., Advances in mathematical sciences. AWM research symposium, Houston, TX, USA, April 6–7, 2019. Cham: Springer. Assoc. Women Math. Ser. 21, 3-16 (2020). MSC: 49M25 65K15 65N30 PDFBibTeX XMLCite \textit{S. C. Brenner}, Assoc. Women Math. Ser. 21, 3--16 (2020; Zbl 1440.49037) Full Text: DOI arXiv
Brenner, Susanne C.; Liu, Sijing; Sung, Li-yeng Multigrid methods for saddle point problems: optimality systems. (English) Zbl 1433.49003 J. Comput. Appl. Math. 372, Article ID 112733, 19 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 49J20 65N30 65N55 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., J. Comput. Appl. Math. 372, Article ID 112733, 19 p. (2020; Zbl 1433.49003) Full Text: DOI arXiv
Brenner, Susanne C.; Cui, Jintao; Sung, Li-yeng Multigrid methods based on Hodge decomposition for a quad-curl problem. (English) Zbl 1420.65119 Comput. Methods Appl. Math. 19, No. 2, 215-232 (2019). MSC: 65N30 65N15 35Q60 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Comput. Methods Appl. Math. 19, No. 2, 215--232 (2019; Zbl 1420.65119) Full Text: DOI
Brenner, Susanne C.; Sung, Li-yeng; Zhang, Yi \(C^0\) interior penalty methods for an elliptic state-constrained optimal control problem with Neumann boundary condition. (English) Zbl 1524.65763 J. Comput. Appl. Math. 350, 212-232 (2019). MSC: 65N30 49J40 65K10 49J20 49M25 65N12 65N15 35J15 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., J. Comput. Appl. Math. 350, 212--232 (2019; Zbl 1524.65763) Full Text: DOI
Brenner, Susanne C.; Gudi, Thirupathi; Porwal, Kamana; Sung, Li-Yeng A Morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints. (English) Zbl 1412.49025 ESAIM, Control Optim. Calc. Var. 24, No. 3, 1181-1206 (2018). Reviewer: Costică Moroşanu (Iaşi) MSC: 49J40 65K15 65N30 49M25 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., ESAIM, Control Optim. Calc. Var. 24, No. 3, 1181--1206 (2018; Zbl 1412.49025) Full Text: DOI
Brenner, Susanne C.; Çeşmelioǧlu, Ayçıl; Cui, Jintao; Sung, Li-Yeng A nonconforming finite element method for an acoustic fluid-structure interaction problem. (English) Zbl 1456.65148 Comput. Methods Appl. Math. 18, No. 3, 383-406 (2018). MSC: 65N25 65N30 74F10 74H15 76Q05 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Comput. Methods Appl. Math. 18, No. 3, 383--406 (2018; Zbl 1456.65148) Full Text: DOI
Brenner, Susanne C.; Gedicke, Joscha; Sung, Li-yeng \(C^0\) interior penalty methods for an elliptic distributed optimal control problem on nonconvex polygonal domains with pointwise state constraints. (English) Zbl 1396.49003 SIAM J. Numer. Anal. 56, No. 3, 1758-1785 (2018). Reviewer: Kurt Marti (München) MSC: 49J20 65N30 49J40 49M25 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., SIAM J. Numer. Anal. 56, No. 3, 1758--1785 (2018; Zbl 1396.49003) Full Text: DOI
Brenner, Susanne C.; Sung, Li-Yeng Virtual element methods on meshes with small edges or faces. (English) Zbl 1393.65049 Math. Models Methods Appl. Sci. 28, No. 7, 1291-1336 (2018). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{L.-Y. Sung}, Math. Models Methods Appl. Sci. 28, No. 7, 1291--1336 (2018; Zbl 1393.65049) Full Text: DOI arXiv
Brenner, Susanne C.; Oh, Duk-Soon; Sung, Li-Yeng Multigrid methods for saddle point problems: Darcy systems. (English) Zbl 1408.76361 Numer. Math. 138, No. 2, 437-471 (2018). MSC: 76M10 65N55 65N30 65N15 35Q35 76S05 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Math. 138, No. 2, 437--471 (2018; Zbl 1408.76361) Full Text: DOI arXiv
Brenner, Susanne C.; Guan, Qingguang; Sung, Li-Yeng Some estimates for virtual element methods. (English) Zbl 1434.65237 Comput. Methods Appl. Math. 17, No. 4, 553-574 (2017). MSC: 65N30 65N12 65N15 35R09 35J05 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Comput. Methods Appl. Math. 17, No. 4, 553--574 (2017; Zbl 1434.65237) Full Text: DOI
Brenner, Susanne C.; Li, Hengguang; Sung, Li-yeng Multigrid methods for saddle point problems: Oseen system. (English) Zbl 1402.65176 Comput. Math. Appl. 74, No. 9, 2056-2067 (2017). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N55 65N30 76D07 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Comput. Math. Appl. 74, No. 9, 2056--2067 (2017; Zbl 1402.65176) Full Text: DOI Link
Brenner, Susanne C.; Sun, Jiguang; Sung, Li-yeng Hodge decomposition methods for a quad-curl problem on planar domains. (English) Zbl 1398.65290 J. Sci. Comput. 73, No. 2-3, 495-513 (2017). MSC: 65N30 35Q60 78M10 65N15 58A14 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., J. Sci. Comput. 73, No. 2--3, 495--513 (2017; Zbl 1398.65290) Full Text: DOI
Brenner, Susanne C.; Sung, Li-yeng A new convergence analysis of finite element methods for elliptic distributed optimal control problems with pointwise state constraints. (English) Zbl 1370.49006 SIAM J. Control Optim. 55, No. 4, 2289-2304 (2017). MSC: 49J40 49J20 65K15 65N30 49J45 PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{L.-y. Sung}, SIAM J. Control Optim. 55, No. 4, 2289--2304 (2017; Zbl 1370.49006) Full Text: DOI
Brenner, S. C.; Gedicke, J.; Sung, L.-Y. Hodge decomposition for two-dimensional time-harmonic Maxwell’s equations: impedance boundary condition. (English) Zbl 1361.78007 Math. Methods Appl. Sci. 40, No. 2, 370-390 (2017). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 58A14 65N30 65N15 35Q61 78A25 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Math. Methods Appl. Sci. 40, No. 2, 370--390 (2017; Zbl 1361.78007) Full Text: DOI
Brenner, Susanne C.; Oh, Minah; Pollock, Sara; Porwal, Kamana; Schedensack, Mira; Sharma, Natasha S. A \(C^0\) interior penalty method for elliptic distributed optimal control problems in three dimensions with pointwise state constraints. (English) Zbl 1384.65038 Brenner, Susanne C. (ed.), Topics in numerical partial differential equations and scientific computing. Based on the presentations at the 2nd IMA’s Women in Applied Mathematics, WhAM!, research collaboration workshop, Minneapolis, MN, USA, August 12–15, 2014. New York, NY: Springer (ISBN 978-1-4939-6398-0/hbk; 978-1-4939-6399-7/ebook). The IMA Volumes in Mathematics and its Applications 160, 1-22 (2016). MSC: 65K10 49J20 65K15 49M25 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., IMA Vol. Math. Appl. 160, 1--22 (2016; Zbl 1384.65038) Full Text: DOI
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi Post-processing procedures for an elliptic distributed optimal control problem with pointwise state constraints. (English) Zbl 1320.65169 Appl. Numer. Math. 95, 99-117 (2015). MSC: 65N30 49M25 65K15 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Appl. Numer. Math. 95, 99--117 (2015; Zbl 1320.65169) Full Text: DOI
Brenner, Susanne C. Forty years of the Crouzeix-Raviart element. (English) Zbl 1310.65142 Numer. Methods Partial Differ. Equations 31, No. 2, 367-396 (2015). MSC: 65N30 65-03 01A60 01A61 PDFBibTeX XMLCite \textit{S. C. Brenner}, Numer. Methods Partial Differ. Equations 31, No. 2, 367--396 (2015; Zbl 1310.65142) Full Text: DOI
Brenner, Susanne C.; Sung, Li-Yeng Piecewise \(\mathrm{H}^1\) functions and vector fields associated with meshes generated by independent refinements. (English) Zbl 1311.65143 Math. Comput. 84, No. 293, 1017-1036 (2015). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{L.-Y. Sung}, Math. Comput. 84, No. 293, 1017--1036 (2015; Zbl 1311.65143) Full Text: DOI
Brenner, Susanne C.; Li, Hengguang; Sung, Li-Yeng Multigrid methods for saddle point problems: Stokes and Lamé systems. (English) Zbl 1298.76067 Numer. Math. 128, No. 2, 193-216 (2014). MSC: 76D07 76M10 65N55 65F10 65N30 74S05 74B05 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Math. 128, No. 2, 193--216 (2014; Zbl 1298.76067) Full Text: DOI
Brenner, Susanne C.; Davis, Christopher B.; Sung, Li-yeng A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates. (English) Zbl 1293.74424 J. Comput. Appl. Math. 265, 3-16 (2014). MSC: 74S30 74K20 65K15 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., J. Comput. Appl. Math. 265, 3--16 (2014; Zbl 1293.74424) Full Text: DOI
Brenner, Susanne C.; Sung, Li-yeng; Zhang, Hongchao; Zhang, Yi A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates. (English) Zbl 1290.65108 J. Comput. Appl. Math. 254, 31-42 (2013). MSC: 65N30 65K15 65N15 74S05 74K20 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., J. Comput. Appl. Math. 254, 31--42 (2013; Zbl 1290.65108) Full Text: DOI
Brenner, S. C.; Gedicke, J.; Sung, L.-Y. An adaptive \(P_1\) finite element method for two-dimensional Maxwell’s equations. (English) Zbl 1266.78027 J. Sci. Comput. 55, No. 3, 738-754 (2013). MSC: 78M10 35Q61 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., J. Sci. Comput. 55, No. 3, 738--754 (2013; Zbl 1266.78027) Full Text: DOI
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi Finite element methods for the displacement obstacle problem of clamped plates. (English) Zbl 1250.74023 Math. Comput. 81, No. 279, 1247-1262 (2012). Reviewer: Jan Lovíšek (Bratislava) MSC: 74S05 74M15 74K20 65N30 65N12 49J40 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Math. Comput. 81, No. 279, 1247--1262 (2012; Zbl 1250.74023) Full Text: DOI
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng Higher order weakly over-penalized symmetric interior penalty methods. (English) Zbl 1273.65174 J. Comput. Appl. Math. 236, No. 11, 2883-2894 (2012). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., J. Comput. Appl. Math. 236, No. 11, 2883--2894 (2012; Zbl 1273.65174) Full Text: DOI
Brenner, S. C.; Cui, J.; Nan, Z.; Sung, L.-Y. Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell’s equations. (English) Zbl 1274.78089 Math. Comput. 81, No. 278, 643-659 (2012). MSC: 78M10 65N30 65N15 35Q60 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Math. Comput. 81, No. 278, 643--659 (2012; Zbl 1274.78089) Full Text: DOI
Brenner, Susanne C.; Gudi, Thirupathi; Neilan, Michael; Sung, Li-Yeng \(\mathcal{C}^{0}\) penalty methods for the fully nonlinear Monge-Ampère equation. (English) Zbl 1228.65220 Math. Comput. 80, No. 276, 1979-1995 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 35J96 65N15 65N12 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Math. Comput. 80, No. 276, 1979--1995 (2011; Zbl 1228.65220) Full Text: DOI
Brenner, S. C.; Cui, J.; Gudi, T.; Sung, L.-Y. Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. (English) Zbl 1229.65224 Numer. Math. 119, No. 1, 21-47 (2011). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N55 65N30 65N50 35J05 65N15 65N12 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Math. 119, No. 1, 21--47 (2011; Zbl 1229.65224) Full Text: DOI
Brenner, S. C.; Cui, J.; Sung, L.-Y. Multigrid methods for the symmetric interior penalty method on graded meshes. (English) Zbl 1224.65288 Numer. Linear Algebra Appl. 16, No. 6, 481-501 (2009). MSC: 65N55 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Linear Algebra Appl. 16, No. 6, 481--501 (2009; Zbl 1224.65288) Full Text: DOI
Brenner, S. C.; Cui, J.; Li, F.; Sung, L.-Y. A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem. (English) Zbl 1166.78006 Numer. Math. 109, No. 4, 509-533 (2008). Reviewer: Gunther Schmidt (Berlin) MSC: 78M10 65N30 65N15 35Q60 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Math. 109, No. 4, 509--533 (2008; Zbl 1166.78006) Full Text: DOI
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations. (English) Zbl 1126.78017 Math. Comput. 76, No. 258, 573-595 (2007). MSC: 78M10 65N30 65N12 65N15 35Q60 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Math. Comput. 76, No. 258, 573--595 (2007; Zbl 1126.78017) Full Text: DOI
Brenner, Susanne C.; Wang, Kening Two-level additive Schwarz preconditioners for \(C^0\) interior penalty methods. (English) Zbl 1088.65108 Numer. Math. 102, No. 2, 231-255 (2005). Reviewer: Vit Dolejsi (Praha) MSC: 65N55 65N30 65F10 65F35 35J40 PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{K. Wang}, Numer. Math. 102, No. 2, 231--255 (2005; Zbl 1088.65108) Full Text: DOI
Brenner, Susanne C.; Sung, Li-yeng Multigrid methods for the computation of singular solutions and stress intensity factors. III: Interface singularities. (English) Zbl 1054.74047 Comput. Methods Appl. Mech. Eng. 192, No. 41-42, 4687-4702 (2003). MSC: 74S05 65N55 65N30 74G70 PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{L.-y. Sung}, Comput. Methods Appl. Mech. Eng. 192, No. 41--42, 4687--4702 (2003; Zbl 1054.74047) Full Text: DOI
Brenner, Susanne C. Convergence of the multigrid \(V\)-cycle algorithm for second-order boundary value problems without full elliptic regularity. (English) Zbl 0990.65121 Math. Comput. 71, No. 238, 507-525 (2002). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N12 65N55 65N30 35J25 PDFBibTeX XMLCite \textit{S. C. Brenner}, Math. Comput. 71, No. 238, 507--525 (2002; Zbl 0990.65121) Full Text: DOI
Brenner, Susanne C. A nonstandard finite element interpolation estimate. (English) Zbl 0938.65133 Numer. Funct. Anal. Optimization 20, No. 3-4, 245-250 (1999). Reviewer: V.Arnăutu (Iaşi) MSC: 65N30 65N12 65D05 PDFBibTeX XMLCite \textit{S. C. Brenner}, Numer. Funct. Anal. Optim. 20, No. 3--4, 245--250 (1999; Zbl 0938.65133) Full Text: DOI
Brenner, Susanne C. Multigrid methods for the computation of singular solutions and stress intensity factors. I: Corner singularities. (English) Zbl 1043.65136 Math. Comput. 68, No. 226, 559-583 (1999). MSC: 65N55 65N30 PDFBibTeX XMLCite \textit{S. C. Brenner}, Math. Comput. 68, No. 226, 559--583 (1999; Zbl 1043.65136) Full Text: DOI
Brenner, Susanne C. Convergence of nonconforming multigrid methods without full elliptic regularity. (English) Zbl 0912.65099 Math. Comput. 68, No. 225, 25-53 (1999). Reviewer: M.Bernadou (Le Chesnay) MSC: 65N55 65N30 65N12 35J25 35J40 PDFBibTeX XMLCite \textit{S. C. Brenner}, Math. Comput. 68, No. 225, 25--53 (1999; Zbl 0912.65099) Full Text: DOI
Brenner, S. C.; Sung, L.-Y. Multigrid methods for the computation of singular solutions and stress intensity factors. II: Crack singularities. (English) Zbl 0890.73060 BIT 37, No. 3, 623-643 (1997). MSC: 74S05 74R99 65N55 65N30 74G70 74H35 PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{L. Y. Sung}, BIT 37, No. 3, 623--643 (1997; Zbl 0890.73060) Full Text: DOI
Brenner, Susanne C.; Sung, Li-Yeng Linear finite element methods for planar linear elasticity. (English) Zbl 0766.73060 Math. Comput. 59, No. 200, 321-338 (1992). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{L.-Y. Sung}, Math. Comput. 59, No. 200, 321--338 (1992; Zbl 0766.73060) Full Text: DOI