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1053], 'Element-Based': [337], 'Preconditioner': [338, 559, 845, 916, 1076, 2442], 'Finite': [341], 'Element': [342], 'ProblemsTyrone': [343], 'Rees': [344], 'Wathen6': [347], 'October': [348, 864, 1685, 1859], '43,': [357], '5AbstractPDF': [359, 875, 1122, 1696, 1785, 1870, 2397], '(683': [360], 'KB)Preconditioning': [361], 'PDE-constrained': [363, 972], 'optimization': [364, 490], 'total': [366], 'variation': [367], 'regularizationApplied': [368], 'Computation,': [371, 1442, 1503, 1664, 1812, 2197, 2410], '386': [373], 'Preconditioned': [376, 509, 1213, 1335, 1555], 'iterative': [377, 510, 747, 771, 1125, 1336, 2224, 2345], 'convective': [381], 'FitzHugh–Nagumo': [382], 'equationsComputers': [383], '80,': [389], '12': [391, 1611], 'Fast': [394, 746, 962, 1852], 'solver': [395], 'optimal': [397, 520, 751, 1893], 'control': [398, 521, 1135, 1340, 1894], 'constrained': [400], 'by': [401], 'Ohta-Kawasaki': [402], 'equations16': [403], '2020': [405, 468, 524, 571, 604, 638, 668, 697], 'Algorithms,': [408, 1205], '85,': [410], '3': [412, 481, 743, 2063, 2353], 'The': [415, 1242, 1947], 'nested': [416, 776], 'technique': [419, 458], 'Navier–Stokes': [423, 543, 1339, 1418, 1534, 1827], 'equations': [424, 1535], 'emphasis': [426], 'hemodynamic': [428], 'simulationsComputer': [429], '367': [437], 'parallelization': [441], 'strategy': [442, 1036], 'hydro-mechanically': [444], 'coupled': [445], 'mechanized': [446], 'tunneling': [447], 'simulationsComputers': [448, 1540], 'Geotechnics,': [450], '120': [452], 'field‐split': [456], 'fluid‐structure': [460], 'interaction': [461, 2324], 'applications': [464, 1537], 'biomechanics8': [466], 'April': [467, 1254, 1321, 1559, 2153], 'Biomedical': [476], '36,': [479, 2247], 'Interior‐point': [484], 'PDE‐constrained': [489], 'involving': [492], 'sparsity': [493], 'terms9': [494], 'December': [495, 667, 696], '2019': [496, 737, 801, 830, 865], '27,': [504], '2': [506, 764, 1182, 1239, 1287, 1289, 1802, 1804, 1884, 1995, 1997, 2085], 'boundary': [513], 'value': [514], 'discretizations': [516], 'parabolic': [519], 'problem1': [522], 'Calcolo,': [526, 739, 1643], '57,': [528, 1401, 2217], '1': [530, 1209, 1647, 1967, 2040, 2137, 2182, 2201, 2414], 'Modified': [533], 'SIMPLE': [534], 'from': [540, 822, 971, 1132, 1197, 1314, 1415, 1766, 1891, 2232], 'steady': [541, 1417], 'equationsJournal': [544, 1828], '365': [551], 'Scalable': [555], 'Approximate': [556, 1707], 'Inverse': [557, 686, 1285], 'Block': [558, 624, 985, 1290, 1308, 1553, 1556, 1671, 2043], 'Incompressible': [562, 789, 850, 1107], 'Magnetohydrodynamics': [563], 'Model': [564], 'ProblemMichael': [565], 'Wathen': [566], 'Chen': [568], 'Greif7': [569], '42,': [579, 676], '1AbstractPDF': [581, 1100, 1403, 2465], '(749': [582], 'KB)Fast': [583, 1124, 1758], 'Solution': [584, 1760, 1887], 'Convex': [587], 'Quadratic': [588], 'Optimization': [589, 2119, 2243], 'Fractional': [591, 684], 'Differential': [592], 'EquationsSpyridon': [593], 'Pougkakiotis,': [594], 'Pearson,': [597], 'Santolo': [598], 'Leveque,': [599], 'Jacek': [601], 'Gondzio23': [602], 'September': [603, 1111, 1774], 'Analysis': [610, 644, 703, 1094, 1261, 1363, 1566, 1725, 1750, 2088, 2160], '(726': [617], 'KB)On': [618, 1574], 'Fixed-Point,': [619], 'Krylov,': [620], '$2\\times': [622], '2$': [623], 'ProblemsBen': [628], 'S.': [629], 'Southworth,': [630], 'Abdullah': [631], 'Sivas,': [633], 'Sander': [635], 'Rhebergen11': [636], '(789': [651], 'KB)Three-Precision': [652], 'GMRES-Based': [653], 'Iterative': [654, 1384, 1759], 'Refinement': [655], 'Least': [657], 'Squares': [658], 'ProblemsErin': [659], 'Carson,': [660], 'Nicholas': [661], 'Higham,': [663], 'Srikara': [665], 'Pranesh17': [666], '6AbstractPDF': [678, 840], '(525': [679], 'KB)Efficient': [680], 'Time': [683], 'Diffusion': [685], 'Source': [687], 'ProblemsRihuan': [688], 'Ke,': [689], 'K.': [691, 2148, 2384], 'Ng,': [692, 2149], 'Ting': [694], 'Wei3': [695], '4AbstractPDF': [709, 811, 940], '(1570': [710], 'KB)Stabilized': [711], 'dimensional': [712], 'factorization': [713], 'solving': [716], 'Navier-Stokes': [718, 1199], 'equationsApplied': [719, 2057], '146': [723], 'Alternating': [726], 'positive': [727], 'semidefinite': [728], 'problems17': [735], '56,': [741, 1180, 1609], 'solvers': [748, 1126], 'transport': [752], 'problem7': [753], 'August': [754, 800, 1201, 1602, 1743], '2018': [755, 930, 947, 959], 'Advances': [757], '45,': [762], 'robust': [768, 2320], 'efficient': [770], 'hyper-elastodynamics': [774], 'preconditioningJournal': [778], 'Physics,': [781, 1279, 1344, 1482, 1831], '383': [783], 'Two-Phase': [788], 'FlowNiall': [791], 'Bootland,': [792], 'Alistair': [793], 'Bentley,': [794], 'Christopher': [795], 'Kees,': [796], 'Wathen22': [799], '(1304': [812], 'KB)Preconditioners': [813, 942, 1872], 'Tensor': [815], 'Product': [816], 'Solvers': [817, 1789], 'Optimal': [819], 'Control': [820, 1763], 'Problems': [821, 1764, 1847], 'ChemotaxisSergey': [823], 'Dolgov': [824], 'Pearson12': [828], '(1117': [841], 'KB)An': [842], 'Augmented': [843], 'Lagrangian': [844], '3D': [848], 'Equations': [852], 'at': [853], 'High': [854], 'Reynolds': [855], 'NumberPatrick': [856], 'E.': [857, 1081, 1252, 1677], 'Farrell,': [858], 'Lawrence': [859], 'Mitchell,': [860], 'Florian': [862], 'Wechsung8': [863], '(6194': [876], 'Ohta–Kawasaki': [883], 'equationApplied': [884], 'Letters,': [886, 1156, 1358], '85': [888], 'Parameterized': [891], 'approximate': [892, 2095], 'LU': [894], 'problemsJournal': [900, 1341, 1452, 1519, 1958], '336': [907], 'Hierarchical': [911], 'Low': [912], 'Rank': [913], 'Schur': [914, 951, 1838, 2045, 2096, 2169, 2417], 'Complement': [915, 952, 1839], 'Indefinite': [918, 1224, 1631, 2144], 'SystemsGeoffrey': [920], 'Dillon,': [921], 'Vassilis': [922], 'Kalantzis,': [923], 'Yuanzhe': [924], 'Xi,': [925], 'Yousef': [927], 'Saad17': [928], '40,': [938], '(3369': [941], 'Saddle-Point': [944, 956, 2299], 'Problems20': [945], 'Matching': [950], 'Approximations': [953], 'Certain': [955], 'Systems23': [957], 'solution': [965, 1061, 1273, 2225, 2346], 'programming': [968], 'optimization22': [973], '2017': [975, 997, 1023, 1088, 1112], 'Numerische': [977], 'Mathematik,': [978], '137,': [980], 'triangular': [986, 1514, 1597, 1633, 1655, 2044, 2102, 2207], 'linearization': [989], 'schemes': [990], 'Rayleigh-Bénard': [993], 'convection': [994], 'problem13': [995], '24,': [1005, 2463], '5': [1007, 1050, 1486, 2019], 'finite': [1014], 'element': [1015], 'computation': [1016], 'incompressible,': [1018], 'nonlinear': [1019], 'elastic': [1020], 'deformations20': [1021], 'Mechanics,': [1026], 'Function-based': [1033], 'multigrid': [1035], 'two-dimensional': [1039], 'elasticity-type': [1041], 'problemComputers': [1042], '74,': [1048], 'overlapping': [1054], 'Domain': [1055], 'Decomposition': [1056], 'monolithic': [1060, 1272], 'shear': [1063, 1275], 'bandsComputer': [1064], '318': [1072], 'Ohta--Kawasaki': [1079], 'EquationPatrick': [1080], 'Farrell': [1082], 'Pearson21': [1086], '38,': [1098], '(2225': [1101], 'KB)Constraint': [1102, 2168], 'Interface': [1103], 'Stokes': [1108, 1134, 1474], 'EquationsDaniel': [1109], 'Loghin21': [1110], '(1507': [1123], 'large': [1128], 'matrix': [1129, 1923, 1953], 'time-dependent': [1133], 'problemsApplied': [1136, 1154, 1356, 1439, 1661, 2176, 2213], '108': [1140], 'relaxed': [1147, 1406, 1430], '58': [1158], 'variant': [1162], 'deteriorated': [1165, 1407], 'problems4': [1172], '2016': [1174, 1228, 1255], 'BIT': [1176], 'modified': [1186], 'positive-definite': [1187, 1431], 'skew-Hermitian': [1189, 1433], 'equation27': [1200], '2015': [1202, 1322, 1396, 1477], '72,': [1207], 'On': [1212, 1547, 2375], 'MHSS': [1214], 'Real-Valued': [1215], 'Class': [1220], 'Complex': [1222], 'Symmetric': [1223, 2143], 'Systems12': [1226], 'East': [1230], 'Asian': [1231], '6,': [1237], 'Number': [1243], 'Distinct': [1245], 'Eigenvalues': [1246, 1549], 'After': [1250], 'PerturbationP.': [1251], 'Farrell26': [1253], '37,': [1265], '(275': [1268], 'KB)Parallel': [1269], 'bandsJournal': [1276], '304': [1281], 'Group': [1284, 2185], '×': [1288], 'Matrices': [1291], 'over': [1292, 1807, 1935, 2192], 'Minkowski': [1293], 'Space': [1294], 'MAdvances': [1295], 'Theory,': [1301], '06,': [1303], '03': [1305], 'multiscale': [1315], 'collocation': [1316], 'compactly': [1318], 'supported': [1319], 'RBFs30': [1320], '22,': [1330], '292': [1346], '43': [1360], 'some': [1365, 1801], 'projection': [1366], 'based': [1368, 1599], 'models': [1371], 'flowApplied': [1374], '90': [1378], 'Natural': [1381], 'Saddle': [1387, 1618], 'Point': [1388, 1619], 'SystemsJennifer': [1389], 'Pestana': [1390], 'Wathen5': [1394], 'February': [1395, 1640], 'Review,': [1399], '(260': [1404], 'equationJournal': [1419], '273': [1426], '249': [1444], 'Shift-splitting': [1447], '272': [1459], 'pTatin3D:': [1462], 'High-Performance': [1463], 'Long-Term': [1466], 'Lithospheric': [1467], 'Dynamics': [1468], 'Efficient': [1471], 'Variable-Coefficient': [1472], 'Finite-Volume': [1473], 'Solvers3': [1475], 'Communications': [1479], '16,': [1484], 'Splitting-based': [1489], 'two-by-two': [1495, 1583], 'real': [1498], 'square': [1499], 'blocksApplied': [1500], '243': [1505], 'Eigenvalue': [1508, 1740, 2252], 'estimates': [1509, 2001, 2253], '260': [1526], 'Parallel': [1529], 'unsteady': [1533], 'hemodynamics': [1539], 'Fluids,': [1542], '92': [1544], 'Eigenvectors': [1551], 'Triangular': [1554], 'MatricesJennifer': [1557], 'Pestana24': [1558], '2014': [1560], '35,': [1570, 1694, 1783], '(199': [1573], 'parameterized': [1576, 1653, 2122], 'inexact': [1577], 'Uzawa': [1578, 2123], 'systemJournal': [1585], '255': [1592], 'Rotated': [1595], 'PMHSS6': [1601], '2013': [1603, 1628, 1686, 1719, 1744, 1775], 'Science': [1605], 'China': [1606], 'New': [1614], 'Systems': [1620], 'Singular': [1622], '(1,1)': [1623], 'BlockISRN': [1624], 'symmetric': [1636, 2105, 2210, 2227], 'problems1': [1639], '2012': [1641], '50,': [1645, 2351], '219,': [1666], '14': [1668], 'Coupled': [1674], 'Physics': [1675], 'ProblemsVictoria': [1676], 'Howle,': [1678], 'Robert': [1679], 'Kirby,': [1681], 'Geoffrey': [1683], 'Dillon28': [1684], '(760': [1697], 'KB)GMRES': [1698], 'Convergence': [1699], 'Perturbed': [1701], 'Coefficient': [1702], 'Matrices,': [1703], 'Application': [1705], 'Deflation': [1708], 'PreconditioningJosef': [1709], 'Sifuentes,': [1711], 'Mark': [1712], 'Embree,': [1713], 'Ronald': [1715], 'B.': [1716], 'Morgan18': [1717], '34,': [1729, 1754], '(1158': [1732], 'KB)Robust': [1733], 'Successive': [1734], 'Computation': [1735], 'Eigenpairs': [1737], 'Nonlinear': [1739], 'ProblemsC.': [1741], 'Effenberger22': [1742], '(377': [1757], 'Reaction-Diffusion': [1762], 'Arising': [1765], 'Chemical': [1767], 'ProcessesJohn': [1768], 'Pearson': [1770], 'Martin': [1772], 'Stoll10': [1773], '(1653': [1786], 'KB)Composable': [1787], 'Multiphysics': [1791], 'group': [1798, 1918], 'inverse': [1799, 1919, 2186, 2360], '×': [1803, 1996], 'skew': [1808, 1936, 2193], 'fieldsApplied': [1809, 2194], '217,': [1814], '24': [1816], 'Relaxed': [1820], 'Dimensional': [1821], 'Factorization': [1822], '230,': [1833], '16': [1835], 'Surface': [1842], 'Integral-Equation': [1843], 'Formulations': [1844], 'Dielectric': [1846], 'Solved': [1848], 'Multilevel': [1851], 'Multipole': [1853], 'AlgorithmTahİr': [1854], 'Malas': [1855], 'Levent': [1857], 'Gürel4': [1858], '2011': [1860], '33,': [1868], '(1339': [1871], 'regularized': [1874], 'matricesJournal': [1877, 2128], '19,': [1882], 'problem': [1895], 'wind': [1898], 'simulation26': [1899], '2010': [1901, 2009, 2029], '17,': [1909, 2017], 'Some': [1914], 'results': [1915], 'sub-block': [1926], 'combination': [1929, 1932], 'or': [1930], 'product': [1931], 'fieldsLinear': [1937], 'Multilinear': [1939], 'Algebra,': [1940], '58,': [1942], '8': [1944, 2219], 'properties': [1949], 'preconditioned': [1952, 2255, 2344], '235,': [1965], 'Substructure': [1970], 'structured': [1976], 'equationsMathematical': [1980], 'Modelling,': [1983], '52,': [1985], '9-10': [1987], 'partitioned': [1993], 'form:': [1999], 'eigenvalue': [2000], 'Schwarz': [2003], 'DD': [2004], 'mixed': [2006, 2070], 'FEM8': [2007], 'matrices14': [2027], 'Mathematics-A': [2032], 'Chinese': [2035], 'Universities,': [2036], '25,': [2038], 'complement': [2046, 2170, 2418], 'application': [2053], 'techniques': [2067], 'Stokes/Darcy': [2071], 'model': [2072], 'porous': [2074], 'media': [2075], 'applicationsJournal': [2076], '233,': [2083], 'photonic-crystal': [2090], 'MLFMA': [2093], 'Generalized': [2100, 2298], 'problems27': [2108], '2009': [2110, 2154], '84,': [2114], '3-4': [2116], '226,': [2135], 'Constraint': [2140], 'MatricesZhong-Zhi': [2145, 2380], 'Bai,': [2146], 'Zeng-Qi': [2151], 'Wang22': [2152], '31,': [2164], '(286': [2167], '59,': [2180], '204,': [2199], 'Positive': [2204], 'stable': [2205], 'programming6': [2238], '2007': [2240], '2-3': [2249], 'matrices1': [2258], '2006': [2260, 2307, 2387, 2455, 2481], '13,': [2268], 'diagonal': [2277], 'constraint': [2279, 2402], 'non-symmetric': [2282], 'systemsInternational': [2285], '83,': [2291], 'ProblemsChris': [2300], 'Siefert': [2301], 'Eric': [2303], 'de': [2304], 'Sturler25': [2305], '(244': [2318], 'fluid–structure': [2323], 'problemsComputer': [2325], '194,': [2333], '39-41': [2335], 'simulations': [2339], 'glacial': [2341], 'rebound': [2342], 'using': [2343], 'methodsApplications': [2347], 'Representations': [2356], 'Drazin': [2359], 'matricesLinear': [2366], 'its': [2369], '400': [2372], 'Inexact': [2376], 'Bai': [2381], 'Ng25': [2385], '26,': [2395], '(165': [2398], 'KB)Further': [2399], 'matricesApplied': [2407], '152,': [2412], 'elliptic': [2421], 'partial': [2424], 'differential': [2425], 'equations1': [2426], '2003': [2428], '10,': [2436], '5-6': [2438], 'Steady-State': [2445], 'EquationsDavid': [2447], 'Kay,': [2448], 'Daniel': [2449], 'Loghin,': [2450], 'Wathen25': [2453], '(610': [2466], 'KB)': [2467], 'Volume': [2468], '23,': [2469], 'Issue': [2470], '3|': [2471], '2001SIAM': [2472], 'Computing': [2476], 'History': [2477], 'Published': [2478], 'online:25': [2479], 'InformationCopyright': [2482], '©': [2483], '2001': [2484], 'Society': [2485], 'Industrial': [2487, 2505], 'MathematicsKeywordspreconditionerminimal': [2490], 'polynomialMSC': [2491], 'codes65F1015A23PDF': [2492], 'Download': [2493], 'Article': [2494], 'Publication': [2496], 'DataArticle': [2497], 'DOI:10.1137/S1064827500377435Article': [2498], 'page': [2499], 'range:pp.': [2500], '1050-1051ISSN': [2501], '(print):1064-8275ISSN': [2502], '(online):1095-7197Publisher:Society': [2503]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2037666071', 'counts_by_year': [{'year': 2024, 'cited_by_count': 6}, {'year': 2023, 'cited_by_count': 5}, {'year': 2022, 'cited_by_count': 7}, {'year': 2021, 'cited_by_count': 8}, {'year': 2020, 'cited_by_count': 14}, {'year': 2019, 'cited_by_count': 12}, {'year': 2018, 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