Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (2): 169-180.
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The existence and uniqueness of a generalized saddle point problems dependent parameter is studied. Based on the Riesz-representing operators, a least squares mixed finite element method is developed for saddle point problems considered.
Key words: ｇｅｎｅｒａｌｉｚｅｄｓａｄｄｌｅｐｏｉｎｔｐｒｏｂｌｅｍｓ, Ｒｉｅｓｚｒｅｐｒｅｓｅｎｔｉｎｇｏｐｅｒａｔｏｒｓ, Ｂａｂｕˇ ｓｋａＢｒｅｚｚｉｍｉｘｅｄｆｉｎｉｔｅｅｌｅｍｅｎｔｍｅｔｈｏｄｓ, ＩｎｃｏｍｐｒｅｓｓｉｂｌｅＳｔｏｋｅｓｆｌｏｗ
Duan Huoyuan. Least-Quares Mixed Finite Element Methods Based on Riesz-Representing Operators for Saddle-Point Problems [J].Acta mathematica scientia,Series A, 2000, 20(2): 169-180.
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http://121.43.60.238/sxwlxbA/EN/Y2000/V20/I2/169
１ ＢｏｃｈｅｖＰＢ，ＧｕｎｚｂｕｒｇｅｒＭ Ｄ．Ｆｉｎｉｔｅｅｌｅｍｅｎｔｍｅｔｈｏｄｓｏｆｌｅａｓｔｓｑｕａｒｅｓｔｙｐｅ．ＳＩＡＭ Ｒｅｖ，１９９８，４０：７８９－８３７ ２ ＢｒｅｚｚｉＦ，Ｆｏｒｔｉｎ Ｍ．ＭｉｘｅｄａｎｄＨｙｂｒｉｄＦｉｎｉｔｅＥｌｅｍｅｎｔＭｅｔｈｏｄｓ．ＳｐｒｉｎｇｅｒＶｅｒｌａｇ，１９９１ ３ ＤｅａｎｇＪＭ，ＧｕｎｚｂｕｒｇｅｒＭ Ｄ．ＩｓｓｕｅｓｒｅｌａｔｅｄｔｏｌｅａｓｔｓｑｕａｒｅｓｆｉｎｉｔｅｅｌｅｍｅｎｔｍｅｔｈｏｄｓｆｏｒｔｈｅＳｔｏｋｅｓｅｑｕａｔｉｏｎｓ．ＳＩＡＭＪＳｃｉＣｏｍｐｕｔ，１９９８，２０：８７８－９０６ ４ ＦｒａｎｃａＬＰ，ＨｕｇｈｅｓＴＪＲ，ＳｔｅｎｂｅｒｇＲ．Ｓｔａｂｉｌｉｚｅｄｆｉｎｉｔｅｅｌｅｍｅｎｔｍｅｔｈｏｄｓ．Ｉｎ：ＩｎｃｏｍｐｒｅｓｓｉｂｌｅＣｏｍｐｕｔａｔｉｏｎａｌＦｌｕｉｄＭｅｃｈａｎｉｃｓ．ＧｕｎｚｂｕｒｇｅｒＭ Ｄ，ＮｉｃｏｌａｉｄｅｓｅｄｓＲ Ａ．ＣａｍｂｒｉｄｇｅＵｎｉｖｅｒｓｉｔｙＰｒｅｓｓ，１９９３．８７－１０６ ５ ＺｈｏｕＴＸ．Ｆｉｎｉｔｅｅｌｅｍｅｎｔｍｅｔｈｏｄｓｏｎｔｈｅｃｏｍｂｉｎａｔｉｏｎｏｆｐｒｉｍｉｔｉｖｅｄｕａｌｍｏｄｅｌｓｆｏｒｓａｄｄｌｅｐｏｉｎｔｐｒｏｂｌｅｍｓ．ＳｃｉｅｎｃｅｓｉｎＣｈｉｎａＳｅｒｉｅｓＥ，１９９７，２７：７５－８７ ６ Ｄｕａｎｈｕｏｙｕａｎ．Ｎｅｗ ｍｉｘｅｄａｎｄｈｙｂｒｉｄｆｉｎｉｔｅｅｌｅｍｅｎｔｍｅｔｈｏｄｓ（ｉｎｃｈｉｎｅｓｅ）．ＴｈｅｓｉｓＩｎｓｔｉｔｕｔｅｏｆＣｏｍｐｕｔａｔｉｏｎａｌＭａｔｈｅｍａｔｉｃｓａｎｄＳｃｉｅｎｔｉｆｉｃ／ＥｎｇｉｎｅｅｒｉｎｇＣｏｍｐｕｔｉｎｇ，ＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｅｃｉｅｎｃｅｓ，Ｂｅｉｊｉｎｇ，Ｍａｙ１９９７
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