{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,24]],"date-time":"2025-09-24T10:30:24Z","timestamp":1758709824413},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[1993,9,1]],"date-time":"1993-09-01T00:00:00Z","timestamp":746841600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1993,9]]},"DOI":"10.1007\/bf02238537","type":"journal-article","created":{"date-parts":[[2005,11,14]],"date-time":"2005-11-14T17:32:11Z","timestamp":1131989531000},"page":"293-311","source":"Crossref","is-referenced-by-count":7,"title":["A multi-grid method for variational inequalities in contact problems"],"prefix":"10.1007","volume":"51","author":[{"given":"V.","family":"Belsky","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF02238537_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-96287-5","volume-title":"Nichtlineare Programmierung","author":"H. K\u00fcnzi","year":"1962","unstructured":"K\u00fcnzi, H., Krelle, W.: Nichtlineare Programmierung. Berlin: Springer 1962."},{"key":"BF02238537_CR2","first-page":"504","volume":"21","author":"V. A. Daugavet","year":"1981","unstructured":"Daugavet, V. A.: Modification of Wolfe method. Z. Vycisl. Mat. Mat. Fiz.21, 504\u2013508 (1981).","journal-title":"Z. Vycisl. Mat. Mat. Fiz."},{"key":"BF02238537_CR3","volume-title":"A Linearization Method","author":"B. N. Pchenithnyi","year":"1981","unstructured":"Pchenithnyi, B. N.: A Linearization Method. Moscow: Nauka 1981."},{"key":"BF02238537_CR4","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1137\/0309028","volume":"9","author":"C. W. Cryer","year":"1971","unstructured":"Cryer, C. W.: The solution of a quadratic programming problem using systematic overrelaxation. SIAM J. Control.9, 385\u2013392 (1971).","journal-title":"SIAM J. Control."},{"key":"BF02238537_CR5","first-page":"922","volume":"1","author":"R. P. Fedorenko","year":"1961","unstructured":"Fedorenko, R. P.: A relaxation method for solving elliptic difference equations. Z. Vycisl. Mat. Mat. Fiz.1, 922\u2013927, 1961 (U.S.S.R. Comp. Math. Math. Phys.1, 1092\u20131096, 1961).","journal-title":"Z. Vycisl. Mat. Mat. Fiz."},{"key":"BF02238537_CR6","first-page":"861","volume":"6\/5","author":"N. S. Bachvalov","year":"1966","unstructured":"Bachvalov, N. S.: On the convergence of a relaxation method with natural constraints on the elliptic operator. Z. Vycisl. Mat. Mat. Fiz.6\/5, 861\u2013883, 1966 (U.S.S.R. Comp. Math. Math. Phis.6, 101\u2013135, 1966).","journal-title":"Z. Vycisl. Mat. Mat. Fiz."},{"key":"BF02238537_CR7","first-page":"439","volume":"11\/2","author":"G. P. Astrachancev","year":"1971","unstructured":"Astrachancev, G. P.: An iterative method of solving elliptic net problems. Z. Vycisl. Mat. Mat. Fiz.11\/2, 439\u2013448, 1971 (U.S.S.R. Comp. Math. Math. Phys.11, 171\u2013182, 1971).","journal-title":"Z. Vycisl. Mat. Mat. Fiz."},{"key":"BF02238537_CR8","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1137\/0721018","volume":"21","author":"S.F. Mc Cormick","year":"1984","unstructured":"Mc Cormick, S.F.: Multigrid methods for variational problems: further results. SIAM J. Numer. Anal.21, 255\u2013263 (1984).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02238537_CR9","doi-asserted-by":"crossref","first-page":"967","DOI":"10.1137\/0720066","volume":"20","author":"D. Braess","year":"1983","unstructured":"Braess, D., Hackbusch, W.: A new convergence proof for the multigrid method including the V-cycle. SIAM J. Numer. Anal.20, 967\u2013975 (1983).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02238537_CR10","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1007\/BF01406516","volume":"55","author":"W. Hackbusch","year":"1989","unstructured":"Hackbusch, W., Reusken, A.: Analysis of a damped nonlinear multilevel method. Numer. Math.55, 225\u2013246 (1989).","journal-title":"Numer. Math."},{"key":"BF02238537_CR11","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1007\/BF01442171","volume":"11","author":"J. Mandel","year":"1984","unstructured":"Mandel, J.: A multilevel iterative method for symmetric, positive definite linear complementarity problems. Appl. Math. Optim.11, 77\u201395 (1984).","journal-title":"Appl. Math. Optim."},{"key":"BF02238537_CR12","doi-asserted-by":"crossref","first-page":"655","DOI":"10.1137\/0904046","volume":"4","author":"A. Brandt","year":"1983","unstructured":"Brandt, A., Cryer, C. W.: Multigrid algorithms for solution of linear complementarity problems arising from free boundary problems. SIAM J. Sci. Stat. Comput.4, 655\u2013684 (1983).","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"BF02238537_CR13","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1007\/BF01386398","volume":"57","author":"M. Smoch","year":"1990","unstructured":"Smoch, M.: Anmerkungen zu einem Mehrgitterverfahren f\u00fcr lineare Komplementarit\u00e4tsprobleme. Numer. Math.57, 80\u201383 (1990).","journal-title":"Numer. Math."},{"key":"BF02238537_CR14","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/BF01400918","volume":"42","author":"W. Hackbusch","year":"1983","unstructured":"Hackbusch, W., Mittelmann, H. D.: On multi-grid methods for variational inequalities. Numer. Math.42, 65\u201376 (1983).","journal-title":"Numer. Math."},{"key":"BF02238537_CR15","first-page":"59","volume-title":"On the numerical solution of variational inequalities by multigrid techniques","author":"R. H. W. Hoppe","year":"1988","unstructured":"Hoppe, R. H. W.: On the numerical solution of variational inequalities by multigrid techniques, pp. 59\u201387. Proc. Int. Symp. on Numerical Analysis, Ankara, Turkey, Sept. 1\u20134, 1987. New York: Plenum Press 1988."},{"key":"BF02238537_CR16","doi-asserted-by":"crossref","first-page":"1046","DOI":"10.1137\/0724069","volume":"24","author":"R. H. W. Hoppe","year":"1987","unstructured":"Hoppe, R. H. W.: Multigrid algorithms for variational inequalities. SIAM J. Numer. Anal.24, 1046\u20131065 (1987).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02238537_CR17","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1080\/01630568908816304","volume":"10","author":"M. Bloss","year":"1989","unstructured":"Bloss, M., Hoppe, R. H. W.: Numerical computation of the value function of optimally controlled stochastic switching processes by multi-grid techniques. Numer. Funct. Anal. and Optimiz.10, 275\u2013304 (1989).","journal-title":"Numer. Funct. Anal. and Optimiz."},{"key":"BF02238537_CR18","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/0899-8248(90)90006-V","volume":"2","author":"R. H. W. Hoppe","year":"1990","unstructured":"Hoppe, R. H. W.: Numerical solution of multicomponent alloy solidification by multigrid techniques. IMPACT of Computing in Science and Engineering2, 125\u2013156 (1990).","journal-title":"IMPACT of Computing in Science and Engineering"},{"key":"BF02238537_CR19","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1007\/BF01389627","volume":"49","author":"R. H. W. Hoppe","year":"1986","unstructured":"Hoppe, R. H. W.: Multi-grid methods for Hamilton-Jacobi-Bellman equations. Numer. Math.49, 239\u2013254 (1986).","journal-title":"Numer. Math."},{"key":"BF02238537_CR20","first-page":"425","volume":"34","author":"W. Hackbusch","year":"1980","unstructured":"Hackbusch, W.: Convergence of multi-grid iterations applied to difference equations. Math. Comp.34, 425\u2013440 (1980).","journal-title":"Math. Comp."},{"key":"BF02238537_CR21","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/BF00934765","volume":"37","author":"J. S. Pang","year":"1982","unstructured":"Pang, J. S.: On the convergence of a basic iterative method for the implicit complementarity problem. J. Optimization Theory and Applications37, 149\u2013162 (1982).","journal-title":"J. Optimization Theory and Applications"},{"key":"BF02238537_CR22","volume-title":"Variational methods in elasticity and plasticity","author":"K. Washizu","year":"1982","unstructured":"Washizu, K.: Variational methods in elasticity and plasticity. Oxford, New York, Toronto, Sydney, Paris, Frankfurt: Pergamon Press 1982."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02238537.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02238537\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02238537","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,15]],"date-time":"2019-05-15T17:12:58Z","timestamp":1557940378000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02238537"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,9]]},"references-count":22,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[1993,9]]}},"alternative-id":["BF02238537"],"URL":"https:\/\/doi.org\/10.1007\/bf02238537","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,9]]}}}