Sockwell, K. Chad; Bochev, Pavel; Peterson, Kara; Kuberry, Paul Interface flux recovery framework for constructing partitioned heterogeneous time-integration methods. (English) Zbl 07777369 Numer. Methods Partial Differ. Equations 39, No. 5, 3572-3593 (2023). MSC: 65M55 65M20 65N06 65M20 65N30 65L06 65M12 86A05 86A10 86A08 PDFBibTeX XMLCite \textit{K. C. Sockwell} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3572--3593 (2023; Zbl 07777369) Full Text: DOI
Sockwell, K. Chad; Peterson, Kara; Kuberry, Paul; Bochev, Pavel; Trask, Nat Interface flux recovery coupling method for the ocean-atmosphere system. (English) Zbl 1443.76239 Results Appl. Math. 8, Article ID 100110, 11 p. (2020). MSC: 76U60 76M10 76M20 86A05 86A10 PDFBibTeX XMLCite \textit{K. C. Sockwell} et al., Results Appl. Math. 8, Article ID 100110, 11 p. (2020; Zbl 1443.76239) Full Text: DOI
Bochev, Pavel; Ridzal, Denis; D’Elia, Marta; Perego, Mauro; Peterson, Kara Optimization-based, property-preserving finite element methods for scalar advection equations and their connection to algebraic flux correction. (English) Zbl 1442.76062 Comput. Methods Appl. Mech. Eng. 367, Article ID 112982, 34 p. (2020). MSC: 76M10 PDFBibTeX XMLCite \textit{P. Bochev} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 112982, 34 p. (2020; Zbl 1442.76062) Full Text: DOI
Peterson, Kara; Bochev, Pavel; Kuberry, Paul Explicit synchronous partitioned algorithms for interface problems based on Lagrange multipliers. (English) Zbl 1442.65148 Comput. Math. Appl. 78, No. 2, 459-482 (2019). MSC: 65L80 35Q74 74A50 PDFBibTeX XMLCite \textit{K. Peterson} et al., Comput. Math. Appl. 78, No. 2, 459--482 (2019; Zbl 1442.65148) Full Text: DOI Link
Bochev, Pavel; Kuberry, Paul; Peterson, Kara A virtual control coupling approach for problems with non-coincident discrete interfaces. (English) Zbl 1479.49075 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 147-155 (2018). MSC: 49M41 65N30 65N50 PDFBibTeX XMLCite \textit{P. Bochev} et al., Lect. Notes Comput. Sci. 10665, 147--155 (2018; Zbl 1479.49075) Full Text: DOI Link
Kuberry, Paul; Bochev, Pavel; Peterson, Kara An optimization-based approach for elliptic problems with interfaces. (English) Zbl 06799810 SIAM J. Sci. Comput. 39, No. 5, S757-S781 (2017). MSC: 65D99 49J20 90C20 35J15 PDFBibTeX XMLCite \textit{P. Kuberry} et al., SIAM J. Sci. Comput. 39, No. 5, S757--S781 (2017; Zbl 06799810) Full Text: DOI
D’Elia, Marta; Ridzal, Denis; Peterson, Kara J.; Bochev, Pavel; Shashkov, Mikhail Optimization-based mesh correction with volume and convexity constraints. (English) Zbl 1349.65420 J. Comput. Phys. 313, 455-477 (2016). MSC: 65M50 PDFBibTeX XMLCite \textit{M. D'Elia} et al., J. Comput. Phys. 313, 455--477 (2016; Zbl 1349.65420) Full Text: DOI
Bochev, P.; Perego, M.; Peterson, K. Formulation and analysis of a parameter-free stabilized finite element method. (English) Zbl 1326.65159 SIAM J. Numer. Anal. 53, No. 5, 2363-2388 (2015). MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{P. Bochev} et al., SIAM J. Numer. Anal. 53, No. 5, 2363--2388 (2015; Zbl 1326.65159) Full Text: DOI
Peterson, Kara; Bochev, Pavel; Ridzal, Denis Optimization-based conservative transport on the cubed-sphere grid. (English) Zbl 1440.86003 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 9th international conference, LSSC 2013, Sozopol, Bulgaria, June 3–7, 2013. Revised selected papers. Berlin: Springer. Lect. Notes Comput. Sci. 8353, 205-212 (2014). MSC: 86-08 86-10 86A10 PDFBibTeX XMLCite \textit{K. Peterson} et al., Lect. Notes Comput. Sci. 8353, 205--212 (2014; Zbl 1440.86003) Full Text: DOI Link
Bochev, Pavel; Ridzal, Denis; Peterson, Kara Optimization-based remap and transport: a divide and conquer strategy for feature-preserving discretizations. (English) Zbl 1351.90126 J. Comput. Phys. 257, Part B, 1113-1139 (2014). MSC: 90C20 65M50 65K05 90C90 PDFBibTeX XMLCite \textit{P. Bochev} et al., J. Comput. Phys. 257, Part B, 1113--1139 (2014; Zbl 1351.90126) Full Text: DOI
Bochev, Pavel; Peterson, Kara; Gao, Xujiao A new control volume finite element method for the stable and accurate solution of the drift-diffusion equations on general unstructured grids. (English) Zbl 1297.65101 Comput. Methods Appl. Mech. Eng. 254, 126-145 (2013). MSC: 65M08 78M12 82C80 PDFBibTeX XMLCite \textit{P. Bochev} et al., Comput. Methods Appl. Mech. Eng. 254, 126--145 (2013; Zbl 1297.65101) Full Text: DOI
Bochev, Pavel; Peterson, Kara A parameter-free stabilized finite element method for scalar advection-diffusion problems. (English) Zbl 1273.65173 Cent. Eur. J. Math. 11, No. 8, 1458-1477 (2013). MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{P. Bochev} and \textit{K. Peterson}, Cent. Eur. J. Math. 11, No. 8, 1458--1477 (2013; Zbl 1273.65173) Full Text: DOI
Ridzal, Denis; Young, Joseph; Bochev, Pavel; Peterson, Kara Optimization-based modeling with applications to transport. III. Computational studies. (English) Zbl 1354.65103 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 8th international conference, LSSC 2011, Sozopol, Bulgaria, June 6–10, 2011. Revised selected papers. Berlin: Springer (ISBN 978-3-642-29842-4/pbk). Lecture Notes in Computer Science 7116, 81-88 (2012). MSC: 65J08 65M99 PDFBibTeX XMLCite \textit{D. Ridzal} et al., Lect. Notes Comput. Sci. 7116, 81--88 (2012; Zbl 1354.65103) Full Text: DOI
Bochev, Pavel B.; Peterson, Kara; Siefert, Christopher M. Analysis and computation of compatible least-squares methods for div-curl equations. (English) Zbl 1229.65207 SIAM J. Numer. Anal. 49, No. 1, 159-181 (2011). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N12 65N15 35J25 35Q60 78A30 78M10 PDFBibTeX XMLCite \textit{P. B. Bochev} et al., SIAM J. Numer. Anal. 49, No. 1, 159--181 (2011; Zbl 1229.65207) Full Text: DOI Link