{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T07:22:17Z","timestamp":1776842537181,"version":"3.51.2"},"reference-count":19,"publisher":"American Mathematical Society (AMS)","issue":"254","license":[{"start":{"date-parts":[[2006,12,30]],"date-time":"2006-12-30T00:00:00Z","timestamp":1167436800000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    Macro-elements of smoothness\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper C Superscript r\">\n                        <mml:semantics>\n                          <mml:msup>\n                            <mml:mi>C<\/mml:mi>\n                            <mml:mi>r<\/mml:mi>\n                          <\/mml:msup>\n                          <mml:annotation encoding=\"application\/x-tex\">C^r<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    are constructed on Powell- Sabin-\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"12\">\n                        <mml:semantics>\n                          <mml:mn>12<\/mml:mn>\n                          <mml:annotation encoding=\"application\/x-tex\">12<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    splits of a triangle for all\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"r greater-than-or-equal-to 0\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mi>r<\/mml:mi>\n                            <mml:mo>\n                              \u2265\n                              \n                            <\/mml:mo>\n                            <mml:mn>0<\/mml:mn>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">r \\ge 0<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    . These new elements complement those recently constructed on Powell-Sabin-\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"6\">\n                        <mml:semantics>\n                          <mml:mn>6<\/mml:mn>\n                          <mml:annotation encoding=\"application\/x-tex\">6<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    splits and can be used to construct convenient superspline spaces with stable local bases and full approximation power that can be applied to the solution of boundary-value problems and for interpolation of Hermite data.\n                  <\/p>","DOI":"10.1090\/s0025-5718-05-01813-2","type":"journal-article","created":{"date-parts":[[2006,2,15]],"date-time":"2006-02-15T11:05:20Z","timestamp":1140001520000},"page":"711-726","source":"Crossref","is-referenced-by-count":16,"title":["Smooth macro-elements on Powell-Sabin-12 splits"],"prefix":"10.1090","volume":"75","author":[{"given":"Larry","family":"Schumaker","sequence":"first","affiliation":[]},{"given":"Tatyana","family":"Sorokina","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2005,12,30]]},"reference":[{"issue":"1-2","key":"1","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/S0377-0427(00)00369-1","article-title":"Bivariate spline spaces and minimal determining sets","volume":"119","author":"Alfeld, Peter","year":"2000","journal-title":"J. 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